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Finding the Fourth Proportional to 252,139.80, 377,699.40 and 157,078.20

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Solution

The fourth proportional to 252,139.80, 377,699.40 and 157,078.20 is: 235,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,139.80 : 377,699.40 = 157,078.20 : x
  2. Step 2: Convert to fraction form
    252,139.80/377,699.40 = 157,078.20/x
  3. Step 3: Cross multiply
    252,139.80x = 377,699.40 × 157,078.20
  4. Step 4: Simplify right side
    252,139.80x = 59,328,341,893.08
  5. Step 5: Solve for x
    x = 59,328,341,893.08/252,139.80
  6. Step 6: Final answer
    x = 235,299.39

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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.