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Finding the Fourth Proportional to 137,379.28, 205,699.76 and 87,187.64

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Solution

The fourth proportional to 137,379.28, 205,699.76 and 87,187.64 is: 130,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,379.28 : 205,699.76 = 87,187.64 : x
  2. Step 2: Convert to fraction form
    137,379.28/205,699.76 = 87,187.64/x
  3. Step 3: Cross multiply
    137,379.28x = 205,699.76 × 87,187.64
  4. Step 4: Simplify right side
    137,379.28x = 17,934,476,622.97
  5. Step 5: Solve for x
    x = 17,934,476,622.97/137,379.28
  6. Step 6: Final answer
    x = 130,547.17

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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.