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Finding the Fourth Proportional to 74,712.16, 103,102.80 and 41,178.16

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Solution

The fourth proportional to 74,712.16, 103,102.80 and 41,178.16 is: 56,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,712.16 : 103,102.80 = 41,178.16 : x
  2. Step 2: Convert to fraction form
    74,712.16/103,102.80 = 41,178.16/x
  3. Step 3: Cross multiply
    74,712.16x = 103,102.80 × 41,178.16
  4. Step 4: Simplify right side
    74,712.16x = 4,245,583,594.85
  5. Step 5: Solve for x
    x = 4,245,583,594.85/74,712.16
  6. Step 6: Final answer
    x = 56,825.87

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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.