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Finding the Fourth Proportional to 138,430.50, 207,503.90 and 105,079.97

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Solution

The fourth proportional to 138,430.50, 207,503.90 and 105,079.97 is: 157,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,430.50 : 207,503.90 = 105,079.97 : x
  2. Step 2: Convert to fraction form
    138,430.50/207,503.90 = 105,079.97/x
  3. Step 3: Cross multiply
    138,430.50x = 207,503.90 × 105,079.97
  4. Step 4: Simplify right side
    138,430.50x = 21,804,502,418.01
  5. Step 5: Solve for x
    x = 21,804,502,418.01/138,430.50
  6. Step 6: Final answer
    x = 157,512.27

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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.