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Finding the Fourth Proportional to 77,569.20, 107,042.10 and 47,404.98

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Solution

The fourth proportional to 77,569.20, 107,042.10 and 47,404.98 is: 65,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,569.20 : 107,042.10 = 47,404.98 : x
  2. Step 2: Convert to fraction form
    77,569.20/107,042.10 = 47,404.98/x
  3. Step 3: Cross multiply
    77,569.20x = 107,042.10 × 47,404.98
  4. Step 4: Simplify right side
    77,569.20x = 5,074,328,609.66
  5. Step 5: Solve for x
    x = 5,074,328,609.66/77,569.20
  6. Step 6: Final answer
    x = 65,416.80

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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.