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Finding the Fourth Proportional to 129,419.76, 178,569.72 and 72,810.48

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Solution

The fourth proportional to 129,419.76, 178,569.72 and 72,810.48 is: 100,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,419.76 : 178,569.72 = 72,810.48 : x
  2. Step 2: Convert to fraction form
    129,419.76/178,569.72 = 72,810.48/x
  3. Step 3: Cross multiply
    129,419.76x = 178,569.72 × 72,810.48
  4. Step 4: Simplify right side
    129,419.76x = 13,001,747,026.67
  5. Step 5: Solve for x
    x = 13,001,747,026.67/129,419.76
  6. Step 6: Final answer
    x = 100,461.84

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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.