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Finding the Fourth Proportional to 74,396, 102,666.48 and 40,862

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Solution

The fourth proportional to 74,396, 102,666.48 and 40,862 is: 56,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,396 : 102,666.48 = 40,862 : x
  2. Step 2: Convert to fraction form
    74,396/102,666.48 = 40,862/x
  3. Step 3: Cross multiply
    74,396x = 102,666.48 × 40,862
  4. Step 4: Simplify right side
    74,396x = 4,195,157,705.76
  5. Step 5: Solve for x
    x = 4,195,157,705.76/74,396
  6. Step 6: Final answer
    x = 56,389.56

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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.