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Finding the Fourth Proportional to 137,045.16, 205,589.92 and 42,253.16

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Solution

The fourth proportional to 137,045.16, 205,589.92 and 42,253.16 is: 63,386.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,045.16 : 205,589.92 = 42,253.16 : x
  2. Step 2: Convert to fraction form
    137,045.16/205,589.92 = 42,253.16/x
  3. Step 3: Cross multiply
    137,045.16x = 205,589.92 × 42,253.16
  4. Step 4: Simplify right side
    137,045.16x = 8,686,823,784.15
  5. Step 5: Solve for x
    x = 8,686,823,784.15/137,045.16
  6. Step 6: Final answer
    x = 63,386.58

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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.