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Finding the Fourth Proportional to 116,817.68, 161,152.20 and 76,514

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Solution

The fourth proportional to 116,817.68, 161,152.20 and 76,514 is: 105,552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,817.68 : 161,152.20 = 76,514 : x
  2. Step 2: Convert to fraction form
    116,817.68/161,152.20 = 76,514/x
  3. Step 3: Cross multiply
    116,817.68x = 161,152.20 × 76,514
  4. Step 4: Simplify right side
    116,817.68x = 12,330,399,430.80
  5. Step 5: Solve for x
    x = 12,330,399,430.80/116,817.68
  6. Step 6: Final answer
    x = 105,552.51

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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.