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Finding the Fourth Proportional to 257,980.29, 387,122.67 and 98,190.74

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Solution

The fourth proportional to 257,980.29, 387,122.67 and 98,190.74 is: 147,344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,980.29 : 387,122.67 = 98,190.74 : x
  2. Step 2: Convert to fraction form
    257,980.29/387,122.67 = 98,190.74/x
  3. Step 3: Cross multiply
    257,980.29x = 387,122.67 × 98,190.74
  4. Step 4: Simplify right side
    257,980.29x = 38,011,859,502.46
  5. Step 5: Solve for x
    x = 38,011,859,502.46/257,980.29
  6. Step 6: Final answer
    x = 147,344.05

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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.