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Finding the Fourth Proportional to 180,493.80, 249,082.98 and 99,919.08

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Solution

The fourth proportional to 180,493.80, 249,082.98 and 99,919.08 is: 137,889.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,493.80 : 249,082.98 = 99,919.08 : x
  2. Step 2: Convert to fraction form
    180,493.80/249,082.98 = 99,919.08/x
  3. Step 3: Cross multiply
    180,493.80x = 249,082.98 × 99,919.08
  4. Step 4: Simplify right side
    180,493.80x = 24,888,142,205.26
  5. Step 5: Solve for x
    x = 24,888,142,205.26/180,493.80
  6. Step 6: Final answer
    x = 137,889.18

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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.