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Finding the Fourth Proportional to 76,478.98, 105,542.31 and 44,649.22

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Solution

The fourth proportional to 76,478.98, 105,542.31 and 44,649.22 is: 61,616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,478.98 : 105,542.31 = 44,649.22 : x
  2. Step 2: Convert to fraction form
    76,478.98/105,542.31 = 44,649.22/x
  3. Step 3: Cross multiply
    76,478.98x = 105,542.31 × 44,649.22
  4. Step 4: Simplify right side
    76,478.98x = 4,712,381,818.50
  5. Step 5: Solve for x
    x = 4,712,381,818.50/76,478.98
  6. Step 6: Final answer
    x = 61,616.69

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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.