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Finding the Fourth Proportional to 280,704, 421,128.96 and 83,712

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Solution

The fourth proportional to 280,704, 421,128.96 and 83,712 is: 125,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,704 : 421,128.96 = 83,712 : x
  2. Step 2: Convert to fraction form
    280,704/421,128.96 = 83,712/x
  3. Step 3: Cross multiply
    280,704x = 421,128.96 × 83,712
  4. Step 4: Simplify right side
    280,704x = 35,253,547,499.52
  5. Step 5: Solve for x
    x = 35,253,547,499.52/280,704
  6. Step 6: Final answer
    x = 125,589.76

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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.