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Finding the Fourth Proportional to 76,151.97, 105,145.16 and 61,127.28

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Solution

The fourth proportional to 76,151.97, 105,145.16 and 61,127.28 is: 84,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,151.97 : 105,145.16 = 61,127.28 : x
  2. Step 2: Convert to fraction form
    76,151.97/105,145.16 = 61,127.28/x
  3. Step 3: Cross multiply
    76,151.97x = 105,145.16 × 61,127.28
  4. Step 4: Simplify right side
    76,151.97x = 6,427,237,330.33
  5. Step 5: Solve for x
    x = 6,427,237,330.33/76,151.97
  6. Step 6: Final answer
    x = 84,400.15

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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.