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Finding the Fourth Proportional to 180,434.32, 248,991.71 and 99,854.31

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Solution

The fourth proportional to 180,434.32, 248,991.71 and 99,854.31 is: 137,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,434.32 : 248,991.71 = 99,854.31 : x
  2. Step 2: Convert to fraction form
    180,434.32/248,991.71 = 99,854.31/x
  3. Step 3: Cross multiply
    180,434.32x = 248,991.71 × 99,854.31
  4. Step 4: Simplify right side
    180,434.32x = 24,862,895,397.77
  5. Step 5: Solve for x
    x = 24,862,895,397.77/180,434.32
  6. Step 6: Final answer
    x = 137,794.71

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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.