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Finding the Fourth Proportional to 187,101.15, 280,827.90 and 98,418.30

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Solution

The fourth proportional to 187,101.15, 280,827.90 and 98,418.30 is: 147,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,101.15 : 280,827.90 = 98,418.30 : x
  2. Step 2: Convert to fraction form
    187,101.15/280,827.90 = 98,418.30/x
  3. Step 3: Cross multiply
    187,101.15x = 280,827.90 × 98,418.30
  4. Step 4: Simplify right side
    187,101.15x = 27,638,604,510.57
  5. Step 5: Solve for x
    x = 27,638,604,510.57/187,101.15
  6. Step 6: Final answer
    x = 147,720.12

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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.