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Finding the Fourth Proportional to 275,877.12, 413,740.16 and 76,149.76

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Solution

The fourth proportional to 275,877.12, 413,740.16 and 76,149.76 is: 114,203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,877.12 : 413,740.16 = 76,149.76 : x
  2. Step 2: Convert to fraction form
    275,877.12/413,740.16 = 76,149.76/x
  3. Step 3: Cross multiply
    275,877.12x = 413,740.16 × 76,149.76
  4. Step 4: Simplify right side
    275,877.12x = 31,506,213,886.36
  5. Step 5: Solve for x
    x = 31,506,213,886.36/275,877.12
  6. Step 6: Final answer
    x = 114,203.79

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1.5x scale

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.