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Finding the Fourth Proportional to 109,749, 151,454.70 and 59,449.08

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Solution

The fourth proportional to 109,749, 151,454.70 and 59,449.08 is: 82,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,749 : 151,454.70 = 59,449.08 : x
  2. Step 2: Convert to fraction form
    109,749/151,454.70 = 59,449.08/x
  3. Step 3: Cross multiply
    109,749x = 151,454.70 × 59,449.08
  4. Step 4: Simplify right side
    109,749x = 9,003,842,576.68
  5. Step 5: Solve for x
    x = 9,003,842,576.68/109,749
  6. Step 6: Final answer
    x = 82,040.32

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1.5x scale

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.