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Finding the Fourth Proportional to 52,432, 72,356.16 and 30,083.20

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Solution

The fourth proportional to 52,432, 72,356.16 and 30,083.20 is: 41,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,432 : 72,356.16 = 30,083.20 : x
  2. Step 2: Convert to fraction form
    52,432/72,356.16 = 30,083.20/x
  3. Step 3: Cross multiply
    52,432x = 72,356.16 × 30,083.20
  4. Step 4: Simplify right side
    52,432x = 2,176,704,832.51
  5. Step 5: Solve for x
    x = 2,176,704,832.51/52,432
  6. Step 6: Final answer
    x = 41,514.82

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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.