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Finding the Fourth Proportional to 74,275.01, 102,489.65 and 42,014.03

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Solution

The fourth proportional to 74,275.01, 102,489.65 and 42,014.03 is: 57,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,275.01 : 102,489.65 = 42,014.03 : x
  2. Step 2: Convert to fraction form
    74,275.01/102,489.65 = 42,014.03/x
  3. Step 3: Cross multiply
    74,275.01x = 102,489.65 × 42,014.03
  4. Step 4: Simplify right side
    74,275.01x = 4,306,002,664.82
  5. Step 5: Solve for x
    x = 4,306,002,664.82/74,275.01
  6. Step 6: Final answer
    x = 57,973.78

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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.