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Finding the Fourth Proportional to 77,761.56, 107,284.14 and 43,763.16

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Solution

The fourth proportional to 77,761.56, 107,284.14 and 43,763.16 is: 60,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,761.56 : 107,284.14 = 43,763.16 : x
  2. Step 2: Convert to fraction form
    77,761.56/107,284.14 = 43,763.16/x
  3. Step 3: Cross multiply
    77,761.56x = 107,284.14 × 43,763.16
  4. Step 4: Simplify right side
    77,761.56x = 4,695,092,984.28
  5. Step 5: Solve for x
    x = 4,695,092,984.28/77,761.56
  6. Step 6: Final answer
    x = 60,378.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.