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Finding the Fourth Proportional to 258,002.94, 386,938.80 and 100,145.28

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Solution

The fourth proportional to 258,002.94, 386,938.80 and 100,145.28 is: 150,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,002.94 : 386,938.80 = 100,145.28 : x
  2. Step 2: Convert to fraction form
    258,002.94/386,938.80 = 100,145.28/x
  3. Step 3: Cross multiply
    258,002.94x = 386,938.80 × 100,145.28
  4. Step 4: Simplify right side
    258,002.94x = 38,750,094,468.86
  5. Step 5: Solve for x
    x = 38,750,094,468.86/258,002.94
  6. Step 6: Final answer
    x = 150,192.45

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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.