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Finding the Fourth Proportional to 129,066.40, 178,113.90 and 71,710.98

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Solution

The fourth proportional to 129,066.40, 178,113.90 and 71,710.98 is: 98,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,066.40 : 178,113.90 = 71,710.98 : x
  2. Step 2: Convert to fraction form
    129,066.40/178,113.90 = 71,710.98/x
  3. Step 3: Cross multiply
    129,066.40x = 178,113.90 × 71,710.98
  4. Step 4: Simplify right side
    129,066.40x = 12,772,722,320.62
  5. Step 5: Solve for x
    x = 12,772,722,320.62/129,066.40
  6. Step 6: Final answer
    x = 98,962.41

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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.