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Finding the Fourth Proportional to 87,272, 120,435.36 and 47,528

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Solution

The fourth proportional to 87,272, 120,435.36 and 47,528 is: 65,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,272 : 120,435.36 = 47,528 : x
  2. Step 2: Convert to fraction form
    87,272/120,435.36 = 47,528/x
  3. Step 3: Cross multiply
    87,272x = 120,435.36 × 47,528
  4. Step 4: Simplify right side
    87,272x = 5,724,051,790.08
  5. Step 5: Solve for x
    x = 5,724,051,790.08/87,272
  6. Step 6: Final answer
    x = 65,588.64

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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.