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Finding the Fourth Proportional to 180,521.32, 249,120.42 and 99,951.40

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Solution

The fourth proportional to 180,521.32, 249,120.42 and 99,951.40 is: 137,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,521.32 : 249,120.42 = 99,951.40 : x
  2. Step 2: Convert to fraction form
    180,521.32/249,120.42 = 99,951.40/x
  3. Step 3: Cross multiply
    180,521.32x = 249,120.42 × 99,951.40
  4. Step 4: Simplify right side
    180,521.32x = 24,899,934,747.59
  5. Step 5: Solve for x
    x = 24,899,934,747.59/180,521.32
  6. Step 6: Final answer
    x = 137,933.48

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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.