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Finding the Fourth Proportional to 85,437.76, 128,179.68 and 77,212.48

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Solution

The fourth proportional to 85,437.76, 128,179.68 and 77,212.48 is: 115,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,437.76 : 128,179.68 = 77,212.48 : x
  2. Step 2: Convert to fraction form
    85,437.76/128,179.68 = 77,212.48/x
  3. Step 3: Cross multiply
    85,437.76x = 128,179.68 × 77,212.48
  4. Step 4: Simplify right side
    85,437.76x = 9,897,070,978.41
  5. Step 5: Solve for x
    x = 9,897,070,978.41/85,437.76
  6. Step 6: Final answer
    x = 115,839.54

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1.5x scale

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.