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Finding the Fourth Proportional to 76,545.16, 114,819.90 and 21,141.16

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Solution

The fourth proportional to 76,545.16, 114,819.90 and 21,141.16 is: 31,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,545.16 : 114,819.90 = 21,141.16 : x
  2. Step 2: Convert to fraction form
    76,545.16/114,819.90 = 21,141.16/x
  3. Step 3: Cross multiply
    76,545.16x = 114,819.90 × 21,141.16
  4. Step 4: Simplify right side
    76,545.16x = 2,427,425,877.08
  5. Step 5: Solve for x
    x = 2,427,425,877.08/76,545.16
  6. Step 6: Final answer
    x = 31,712.34

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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.