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Finding the Fourth Proportional to 180,565.74, 249,188.13 and 99,991.80

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Solution

The fourth proportional to 180,565.74, 249,188.13 and 99,991.80 is: 137,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,565.74 : 249,188.13 = 99,991.80 : x
  2. Step 2: Convert to fraction form
    180,565.74/249,188.13 = 99,991.80/x
  3. Step 3: Cross multiply
    180,565.74x = 249,188.13 × 99,991.80
  4. Step 4: Simplify right side
    180,565.74x = 24,916,769,657.33
  5. Step 5: Solve for x
    x = 24,916,769,657.33/180,565.74
  6. Step 6: Final answer
    x = 137,992.79

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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.