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Finding the Fourth Proportional to 138,110.30, 207,165.45 and 71,570.83

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Solution

The fourth proportional to 138,110.30, 207,165.45 and 71,570.83 is: 107,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,110.30 : 207,165.45 = 71,570.83 : x
  2. Step 2: Convert to fraction form
    138,110.30/207,165.45 = 71,570.83/x
  3. Step 3: Cross multiply
    138,110.30x = 207,165.45 × 71,570.83
  4. Step 4: Simplify right side
    138,110.30x = 14,827,003,203.82
  5. Step 5: Solve for x
    x = 14,827,003,203.82/138,110.30
  6. Step 6: Final answer
    x = 107,356.25

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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.