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Finding the Fourth Proportional to 86,297,866.40, 129,446,799.60 and 77,638,512.80

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Solution

The fourth proportional to 86,297,866.40, 129,446,799.60 and 77,638,512.80 is: 116,457,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,297,866.40 : 129,446,799.60 = 77,638,512.80 : x
  2. Step 2: Convert to fraction form
    86,297,866.40/129,446,799.60 = 77,638,512.80/x
  3. Step 3: Cross multiply
    86,297,866.40x = 129,446,799.60 × 77,638,512.80
  4. Step 4: Simplify right side
    86,297,866.40x = 10,050,057,007,663,634
  5. Step 5: Solve for x
    x = 10,050,057,007,663,634/86,297,866.40
  6. Step 6: Final answer
    x = 116,457,769.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.