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Finding the Fourth Proportional to 180,476.78, 249,060.15 and 99,911.75

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Solution

The fourth proportional to 180,476.78, 249,060.15 and 99,911.75 is: 137,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,476.78 : 249,060.15 = 99,911.75 : x
  2. Step 2: Convert to fraction form
    180,476.78/249,060.15 = 99,911.75/x
  3. Step 3: Cross multiply
    180,476.78x = 249,060.15 × 99,911.75
  4. Step 4: Simplify right side
    180,476.78x = 24,884,034,196.46
  5. Step 5: Solve for x
    x = 24,884,034,196.46/180,476.78
  6. Step 6: Final answer
    x = 137,879.43

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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.