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Finding the Fourth Proportional to 187,140.30, 280,746.90 and 54,024.90

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Solution

The fourth proportional to 187,140.30, 280,746.90 and 54,024.90 is: 81,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,140.30 : 280,746.90 = 54,024.90 : x
  2. Step 2: Convert to fraction form
    187,140.30/280,746.90 = 54,024.90/x
  3. Step 3: Cross multiply
    187,140.30x = 280,746.90 × 54,024.90
  4. Step 4: Simplify right side
    187,140.30x = 15,167,323,197.81
  5. Step 5: Solve for x
    x = 15,167,323,197.81/187,140.30
  6. Step 6: Final answer
    x = 81,047.87

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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.