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Finding the Fourth Proportional to 257,937.51, 386,757.28 and 99,981.44

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Solution

The fourth proportional to 257,937.51, 386,757.28 and 99,981.44 is: 149,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,937.51 : 386,757.28 = 99,981.44 : x
  2. Step 2: Convert to fraction form
    257,937.51/386,757.28 = 99,981.44/x
  3. Step 3: Cross multiply
    257,937.51x = 386,757.28 × 99,981.44
  4. Step 4: Simplify right side
    257,937.51x = 38,668,549,426.41
  5. Step 5: Solve for x
    x = 38,668,549,426.41/257,937.51
  6. Step 6: Final answer
    x = 149,914.41

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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.