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Finding the Fourth Proportional to 97,416.40, 146,124.60 and 81,013.90

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Solution

The fourth proportional to 97,416.40, 146,124.60 and 81,013.90 is: 121,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,416.40 : 146,124.60 = 81,013.90 : x
  2. Step 2: Convert to fraction form
    97,416.40/146,124.60 = 81,013.90/x
  3. Step 3: Cross multiply
    97,416.40x = 146,124.60 × 81,013.90
  4. Step 4: Simplify right side
    97,416.40x = 11,838,123,731.94
  5. Step 5: Solve for x
    x = 11,838,123,731.94/97,416.40
  6. Step 6: Final answer
    x = 121,520.85

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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.