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Finding the Fourth Proportional to 77,642.44, 107,148.90 and 47,432.68

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Solution

The fourth proportional to 77,642.44, 107,148.90 and 47,432.68 is: 65,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,642.44 : 107,148.90 = 47,432.68 : x
  2. Step 2: Convert to fraction form
    77,642.44/107,148.90 = 47,432.68/x
  3. Step 3: Cross multiply
    77,642.44x = 107,148.90 × 47,432.68
  4. Step 4: Simplify right side
    77,642.44x = 5,082,359,486.05
  5. Step 5: Solve for x
    x = 5,082,359,486.05/77,642.44
  6. Step 6: Final answer
    x = 65,458.52

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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.