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Finding the Fourth Proportional to 83,176.11, 114,929.42 and 72,547.29

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Solution

The fourth proportional to 83,176.11, 114,929.42 and 72,547.29 is: 100,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,176.11 : 114,929.42 = 72,547.29 : x
  2. Step 2: Convert to fraction form
    83,176.11/114,929.42 = 72,547.29/x
  3. Step 3: Cross multiply
    83,176.11x = 114,929.42 × 72,547.29
  4. Step 4: Simplify right side
    83,176.11x = 8,337,817,599.54
  5. Step 5: Solve for x
    x = 8,337,817,599.54/83,176.11
  6. Step 6: Final answer
    x = 100,242.94

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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.