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Finding the Fourth Proportional to 78,447.84, 108,258.68 and 42,637.88

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Solution

The fourth proportional to 78,447.84, 108,258.68 and 42,637.88 is: 58,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,447.84 : 108,258.68 = 42,637.88 : x
  2. Step 2: Convert to fraction form
    78,447.84/108,258.68 = 42,637.88/x
  3. Step 3: Cross multiply
    78,447.84x = 108,258.68 × 42,637.88
  4. Step 4: Simplify right side
    78,447.84x = 4,615,920,606.80
  5. Step 5: Solve for x
    x = 4,615,920,606.80/78,447.84
  6. Step 6: Final answer
    x = 58,840.63

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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.