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Finding the Fourth Proportional to 180,440.10, 249,001.02 and 99,867.78

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Solution

The fourth proportional to 180,440.10, 249,001.02 and 99,867.78 is: 137,814.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,440.10 : 249,001.02 = 99,867.78 : x
  2. Step 2: Convert to fraction form
    180,440.10/249,001.02 = 99,867.78/x
  3. Step 3: Cross multiply
    180,440.10x = 249,001.02 × 99,867.78
  4. Step 4: Simplify right side
    180,440.10x = 24,867,179,085.14
  5. Step 5: Solve for x
    x = 24,867,179,085.14/180,440.10
  6. Step 6: Final answer
    x = 137,814.04

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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.