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Finding the Fourth Proportional to 129,011.81, 178,030.29 and 71,654.79

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Solution

The fourth proportional to 129,011.81, 178,030.29 and 71,654.79 is: 98,880.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,011.81 : 178,030.29 = 71,654.79 : x
  2. Step 2: Convert to fraction form
    129,011.81/178,030.29 = 71,654.79/x
  3. Step 3: Cross multiply
    129,011.81x = 178,030.29 × 71,654.79
  4. Step 4: Simplify right side
    129,011.81x = 12,756,723,043.59
  5. Step 5: Solve for x
    x = 12,756,723,043.59/129,011.81
  6. Step 6: Final answer
    x = 98,880.28

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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.