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Finding the Fourth Proportional to 84,423, 126,678.24 and 42,870

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Solution

The fourth proportional to 84,423, 126,678.24 and 42,870 is: 64,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,423 : 126,678.24 = 42,870 : x
  2. Step 2: Convert to fraction form
    84,423/126,678.24 = 42,870/x
  3. Step 3: Cross multiply
    84,423x = 126,678.24 × 42,870
  4. Step 4: Simplify right side
    84,423x = 5,430,696,148.80
  5. Step 5: Solve for x
    x = 5,430,696,148.80/84,423
  6. Step 6: Final answer
    x = 64,327.21

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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.