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Finding the Fourth Proportional to 75,110.40, 103,663.74 and 42,844.86

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Solution

The fourth proportional to 75,110.40, 103,663.74 and 42,844.86 is: 59,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,110.40 : 103,663.74 = 42,844.86 : x
  2. Step 2: Convert to fraction form
    75,110.40/103,663.74 = 42,844.86/x
  3. Step 3: Cross multiply
    75,110.40x = 103,663.74 × 42,844.86
  4. Step 4: Simplify right side
    75,110.40x = 4,441,458,427.38
  5. Step 5: Solve for x
    x = 4,441,458,427.38/75,110.40
  6. Step 6: Final answer
    x = 59,132.40

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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.