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Finding the Fourth Proportional to 180,511.92, 249,115.64 and 99,948.32

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Solution

The fourth proportional to 180,511.92, 249,115.64 and 99,948.32 is: 137,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,511.92 : 249,115.64 = 99,948.32 : x
  2. Step 2: Convert to fraction form
    180,511.92/249,115.64 = 99,948.32/x
  3. Step 3: Cross multiply
    180,511.92x = 249,115.64 × 99,948.32
  4. Step 4: Simplify right side
    180,511.92x = 24,898,687,958.41
  5. Step 5: Solve for x
    x = 24,898,687,958.41/180,511.92
  6. Step 6: Final answer
    x = 137,933.76

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1.5x scale

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.