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Finding the Fourth Proportional to 137,009.78, 205,535.16 and 42,232.08

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Solution

The fourth proportional to 137,009.78, 205,535.16 and 42,232.08 is: 63,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,009.78 : 205,535.16 = 42,232.08 : x
  2. Step 2: Convert to fraction form
    137,009.78/205,535.16 = 42,232.08/x
  3. Step 3: Cross multiply
    137,009.78x = 205,535.16 × 42,232.08
  4. Step 4: Simplify right side
    137,009.78x = 8,680,177,319.93
  5. Step 5: Solve for x
    x = 8,680,177,319.93/137,009.78
  6. Step 6: Final answer
    x = 63,354.44

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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.