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Finding the Fourth Proportional to 78,258.08, 107,995.52 and 42,448

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Solution

The fourth proportional to 78,258.08, 107,995.52 and 42,448 is: 58,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,258.08 : 107,995.52 = 42,448 : x
  2. Step 2: Convert to fraction form
    78,258.08/107,995.52 = 42,448/x
  3. Step 3: Cross multiply
    78,258.08x = 107,995.52 × 42,448
  4. Step 4: Simplify right side
    78,258.08x = 4,584,193,832.96
  5. Step 5: Solve for x
    x = 4,584,193,832.96/78,258.08
  6. Step 6: Final answer
    x = 58,577.90

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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.