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Finding the Fourth Proportional to 138,827.80, 208,220.10 and 38,978.20

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Solution

The fourth proportional to 138,827.80, 208,220.10 and 38,978.20 is: 58,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,827.80 : 208,220.10 = 38,978.20 : x
  2. Step 2: Convert to fraction form
    138,827.80/208,220.10 = 38,978.20/x
  3. Step 3: Cross multiply
    138,827.80x = 208,220.10 × 38,978.20
  4. Step 4: Simplify right side
    138,827.80x = 8,116,044,701.82
  5. Step 5: Solve for x
    x = 8,116,044,701.82/138,827.80
  6. Step 6: Final answer
    x = 58,461.24

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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.