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Finding the Fourth Proportional to 106,400.40, 159,600.60 and 77,094.60

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Solution

The fourth proportional to 106,400.40, 159,600.60 and 77,094.60 is: 115,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,400.40 : 159,600.60 = 77,094.60 : x
  2. Step 2: Convert to fraction form
    106,400.40/159,600.60 = 77,094.60/x
  3. Step 3: Cross multiply
    106,400.40x = 159,600.60 × 77,094.60
  4. Step 4: Simplify right side
    106,400.40x = 12,304,344,416.76
  5. Step 5: Solve for x
    x = 12,304,344,416.76/106,400.40
  6. Step 6: Final answer
    x = 115,641.90

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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.