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Finding the Fourth Proportional to 180,523.29, 249,129.92 and 99,950.81

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Solution

The fourth proportional to 180,523.29, 249,129.92 and 99,950.81 is: 137,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,523.29 : 249,129.92 = 99,950.81 : x
  2. Step 2: Convert to fraction form
    180,523.29/249,129.92 = 99,950.81/x
  3. Step 3: Cross multiply
    180,523.29x = 249,129.92 × 99,950.81
  4. Step 4: Simplify right side
    180,523.29x = 24,900,737,860.52
  5. Step 5: Solve for x
    x = 24,900,737,860.52/180,523.29
  6. Step 6: Final answer
    x = 137,936.43

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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.