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Finding the Fourth Proportional to 78,145.71, 117,061.56 and 35,966.85

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Solution

The fourth proportional to 78,145.71, 117,061.56 and 35,966.85 is: 53,878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,145.71 : 117,061.56 = 35,966.85 : x
  2. Step 2: Convert to fraction form
    78,145.71/117,061.56 = 35,966.85/x
  3. Step 3: Cross multiply
    78,145.71x = 117,061.56 × 35,966.85
  4. Step 4: Simplify right side
    78,145.71x = 4,210,335,569.29
  5. Step 5: Solve for x
    x = 4,210,335,569.29/78,145.71
  6. Step 6: Final answer
    x = 53,878.01

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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.