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Finding the Fourth Proportional to 180,521.91, 249,122.25 and 99,956.88

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Solution

The fourth proportional to 180,521.91, 249,122.25 and 99,956.88 is: 137,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,521.91 : 249,122.25 = 99,956.88 : x
  2. Step 2: Convert to fraction form
    180,521.91/249,122.25 = 99,956.88/x
  3. Step 3: Cross multiply
    180,521.91x = 249,122.25 × 99,956.88
  4. Step 4: Simplify right side
    180,521.91x = 24,901,482,848.58
  5. Step 5: Solve for x
    x = 24,901,482,848.58/180,521.91
  6. Step 6: Final answer
    x = 137,941.61

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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.