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Finding the Fourth Proportional to 77,478.88, 106,899.60 and 47,269.12

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Solution

The fourth proportional to 77,478.88, 106,899.60 and 47,269.12 is: 65,218.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,478.88 : 106,899.60 = 47,269.12 : x
  2. Step 2: Convert to fraction form
    77,478.88/106,899.60 = 47,269.12/x
  3. Step 3: Cross multiply
    77,478.88x = 106,899.60 × 47,269.12
  4. Step 4: Simplify right side
    77,478.88x = 5,053,050,020.35
  5. Step 5: Solve for x
    x = 5,053,050,020.35/77,478.88
  6. Step 6: Final answer
    x = 65,218.42

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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.