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Finding the Fourth Proportional to 75,399.95, 104,054.11 and 42,691.86

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Solution

The fourth proportional to 75,399.95, 104,054.11 and 42,691.86 is: 58,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,399.95 : 104,054.11 = 42,691.86 : x
  2. Step 2: Convert to fraction form
    75,399.95/104,054.11 = 42,691.86/x
  3. Step 3: Cross multiply
    75,399.95x = 104,054.11 × 42,691.86
  4. Step 4: Simplify right side
    75,399.95x = 4,442,263,389.81
  5. Step 5: Solve for x
    x = 4,442,263,389.81/75,399.95
  6. Step 6: Final answer
    x = 58,916.00

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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.