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Finding the Fourth Proportional to 180,070.71, 270,275.58 and 91,387.86

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Solution

The fourth proportional to 180,070.71, 270,275.58 and 91,387.86 is: 137,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,070.71 : 270,275.58 = 91,387.86 : x
  2. Step 2: Convert to fraction form
    180,070.71/270,275.58 = 91,387.86/x
  3. Step 3: Cross multiply
    180,070.71x = 270,275.58 × 91,387.86
  4. Step 4: Simplify right side
    180,070.71x = 24,699,906,866.46
  5. Step 5: Solve for x
    x = 24,699,906,866.46/180,070.71
  6. Step 6: Final answer
    x = 137,167.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.