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Finding the Fourth Proportional to 180,702.92, 249,379.08 and 100,139.24

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Solution

The fourth proportional to 180,702.92, 249,379.08 and 100,139.24 is: 138,197.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,702.92 : 249,379.08 = 100,139.24 : x
  2. Step 2: Convert to fraction form
    180,702.92/249,379.08 = 100,139.24/x
  3. Step 3: Cross multiply
    180,702.92x = 249,379.08 × 100,139.24
  4. Step 4: Simplify right side
    180,702.92x = 24,972,631,543.10
  5. Step 5: Solve for x
    x = 24,972,631,543.10/180,702.92
  6. Step 6: Final answer
    x = 138,197.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.