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Finding the Fourth Proportional to 180,412.80, 248,963.52 and 99,843.72

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Solution

The fourth proportional to 180,412.80, 248,963.52 and 99,843.72 is: 137,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,412.80 : 248,963.52 = 99,843.72 : x
  2. Step 2: Convert to fraction form
    180,412.80/248,963.52 = 99,843.72/x
  3. Step 3: Cross multiply
    180,412.80x = 248,963.52 × 99,843.72
  4. Step 4: Simplify right side
    180,412.80x = 24,857,443,981.09
  5. Step 5: Solve for x
    x = 24,857,443,981.09/180,412.80
  6. Step 6: Final answer
    x = 137,780.93

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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.