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Finding the Fourth Proportional to 74,690, 103,074.36 and 41,158.16

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Solution

The fourth proportional to 74,690, 103,074.36 and 41,158.16 is: 56,799.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,690 : 103,074.36 = 41,158.16 : x
  2. Step 2: Convert to fraction form
    74,690/103,074.36 = 41,158.16/x
  3. Step 3: Cross multiply
    74,690x = 103,074.36 × 41,158.16
  4. Step 4: Simplify right side
    74,690x = 4,242,351,000.78
  5. Step 5: Solve for x
    x = 4,242,351,000.78/74,690
  6. Step 6: Final answer
    x = 56,799.45

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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.