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Finding the Fourth Proportional to 315,010.52, 472,712.43 and 128,022.02

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Solution

The fourth proportional to 315,010.52, 472,712.43 and 128,022.02 is: 192,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,010.52 : 472,712.43 = 128,022.02 : x
  2. Step 2: Convert to fraction form
    315,010.52/472,712.43 = 128,022.02/x
  3. Step 3: Cross multiply
    315,010.52x = 472,712.43 × 128,022.02
  4. Step 4: Simplify right side
    315,010.52x = 60,517,600,167.71
  5. Step 5: Solve for x
    x = 60,517,600,167.71/315,010.52
  6. Step 6: Final answer
    x = 192,112.95

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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.