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Finding the Fourth Proportional to 74,245.90, 102,458.10 and 41,980

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Solution

The fourth proportional to 74,245.90, 102,458.10 and 41,980 is: 57,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,245.90 : 102,458.10 = 41,980 : x
  2. Step 2: Convert to fraction form
    74,245.90/102,458.10 = 41,980/x
  3. Step 3: Cross multiply
    74,245.90x = 102,458.10 × 41,980
  4. Step 4: Simplify right side
    74,245.90x = 4,301,191,038
  5. Step 5: Solve for x
    x = 4,301,191,038/74,245.90
  6. Step 6: Final answer
    x = 57,931.70

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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.