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Finding the Fourth Proportional to 283,708, 425,631.12 and 86,716

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Solution

The fourth proportional to 283,708, 425,631.12 and 86,716 is: 130,095.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,708 : 425,631.12 = 86,716 : x
  2. Step 2: Convert to fraction form
    283,708/425,631.12 = 86,716/x
  3. Step 3: Cross multiply
    283,708x = 425,631.12 × 86,716
  4. Step 4: Simplify right side
    283,708x = 36,909,028,201.92
  5. Step 5: Solve for x
    x = 36,909,028,201.92/283,708
  6. Step 6: Final answer
    x = 130,095.13

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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.