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Finding the Fourth Proportional to 78,405.98, 117,649.22 and 38,424.21

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Solution

The fourth proportional to 78,405.98, 117,649.22 and 38,424.21 is: 57,656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,405.98 : 117,649.22 = 38,424.21 : x
  2. Step 2: Convert to fraction form
    78,405.98/117,649.22 = 38,424.21/x
  3. Step 3: Cross multiply
    78,405.98x = 117,649.22 × 38,424.21
  4. Step 4: Simplify right side
    78,405.98x = 4,520,578,143.50
  5. Step 5: Solve for x
    x = 4,520,578,143.50/78,405.98
  6. Step 6: Final answer
    x = 57,656.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.