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Finding the Fourth Proportional to 78,447.80, 108,258.36 and 42,638.51

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Solution

The fourth proportional to 78,447.80, 108,258.36 and 42,638.51 is: 58,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,447.80 : 108,258.36 = 42,638.51 : x
  2. Step 2: Convert to fraction form
    78,447.80/108,258.36 = 42,638.51/x
  3. Step 3: Cross multiply
    78,447.80x = 108,258.36 × 42,638.51
  4. Step 4: Simplify right side
    78,447.80x = 4,615,975,276.20
  5. Step 5: Solve for x
    x = 4,615,975,276.20/78,447.80
  6. Step 6: Final answer
    x = 58,841.36

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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.