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Finding the Fourth Proportional to 129,710.73, 194,648.10 and 76,402.60

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Solution

The fourth proportional to 129,710.73, 194,648.10 and 76,402.60 is: 114,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,710.73 : 194,648.10 = 76,402.60 : x
  2. Step 2: Convert to fraction form
    129,710.73/194,648.10 = 76,402.60/x
  3. Step 3: Cross multiply
    129,710.73x = 194,648.10 × 76,402.60
  4. Step 4: Simplify right side
    129,710.73x = 14,871,620,925.06
  5. Step 5: Solve for x
    x = 14,871,620,925.06/129,710.73
  6. Step 6: Final answer
    x = 114,652.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.