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Finding the Fourth Proportional to 258,005.52, 387,155.70 and 100,213.47

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Solution

The fourth proportional to 258,005.52, 387,155.70 and 100,213.47 is: 150,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,005.52 : 387,155.70 = 100,213.47 : x
  2. Step 2: Convert to fraction form
    258,005.52/387,155.70 = 100,213.47/x
  3. Step 3: Cross multiply
    258,005.52x = 387,155.70 × 100,213.47
  4. Step 4: Simplify right side
    258,005.52x = 38,798,216,127.28
  5. Step 5: Solve for x
    x = 38,798,216,127.28/258,005.52
  6. Step 6: Final answer
    x = 150,377.47

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1.5x scale

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.