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Finding the Fourth Proportional to 77,137.68, 106,505.16 and 60,160.89

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Solution

The fourth proportional to 77,137.68, 106,505.16 and 60,160.89 is: 83,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,137.68 : 106,505.16 = 60,160.89 : x
  2. Step 2: Convert to fraction form
    77,137.68/106,505.16 = 60,160.89/x
  3. Step 3: Cross multiply
    77,137.68x = 106,505.16 × 60,160.89
  4. Step 4: Simplify right side
    77,137.68x = 6,407,445,215.19
  5. Step 5: Solve for x
    x = 6,407,445,215.19/77,137.68
  6. Step 6: Final answer
    x = 83,065.05

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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.