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Finding the Fourth Proportional to 138,750.36, 208,041.24 and 54,409.46

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Solution

The fourth proportional to 138,750.36, 208,041.24 and 54,409.46 is: 81,581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,750.36 : 208,041.24 = 54,409.46 : x
  2. Step 2: Convert to fraction form
    138,750.36/208,041.24 = 54,409.46/x
  3. Step 3: Cross multiply
    138,750.36x = 208,041.24 × 54,409.46
  4. Step 4: Simplify right side
    138,750.36x = 11,319,411,526.13
  5. Step 5: Solve for x
    x = 11,319,411,526.13/138,750.36
  6. Step 6: Final answer
    x = 81,581.13

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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.