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Finding the Fourth Proportional to 180,727.16, 249,404.92 and 100,156

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Solution

The fourth proportional to 180,727.16, 249,404.92 and 100,156 is: 138,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,727.16 : 249,404.92 = 100,156 : x
  2. Step 2: Convert to fraction form
    180,727.16/249,404.92 = 100,156/x
  3. Step 3: Cross multiply
    180,727.16x = 249,404.92 × 100,156
  4. Step 4: Simplify right side
    180,727.16x = 24,979,399,167.52
  5. Step 5: Solve for x
    x = 24,979,399,167.52/180,727.16
  6. Step 6: Final answer
    x = 138,216.08

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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.