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Finding the Fourth Proportional to 185,419.36, 278,139.80 and 71,567.80

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Solution

The fourth proportional to 185,419.36, 278,139.80 and 71,567.80 is: 107,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,419.36 : 278,139.80 = 71,567.80 : x
  2. Step 2: Convert to fraction form
    185,419.36/278,139.80 = 71,567.80/x
  3. Step 3: Cross multiply
    185,419.36x = 278,139.80 × 71,567.80
  4. Step 4: Simplify right side
    185,419.36x = 19,905,851,829.90
  5. Step 5: Solve for x
    x = 19,905,851,829.90/185,419.36
  6. Step 6: Final answer
    x = 107,355.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.