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Finding the Fourth Proportional to 86,416, 129,624 and 28,048

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Solution

The fourth proportional to 86,416, 129,624 and 28,048 is: 42,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,416 : 129,624 = 28,048 : x
  2. Step 2: Convert to fraction form
    86,416/129,624 = 28,048/x
  3. Step 3: Cross multiply
    86,416x = 129,624 × 28,048
  4. Step 4: Simplify right side
    86,416x = 3,635,693,952
  5. Step 5: Solve for x
    x = 3,635,693,952/86,416
  6. Step 6: Final answer
    x = 42,072

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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.