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Finding the Fourth Proportional to 129,167.84, 178,267.56 and 72,578

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Solution

The fourth proportional to 129,167.84, 178,267.56 and 72,578 is: 100,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,167.84 : 178,267.56 = 72,578 : x
  2. Step 2: Convert to fraction form
    129,167.84/178,267.56 = 72,578/x
  3. Step 3: Cross multiply
    129,167.84x = 178,267.56 × 72,578
  4. Step 4: Simplify right side
    129,167.84x = 12,938,302,969.68
  5. Step 5: Solve for x
    x = 12,938,302,969.68/129,167.84
  6. Step 6: Final answer
    x = 100,166.60

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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.