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Finding the Fourth Proportional to 78,365.68, 108,132 and 48,141.28

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Solution

The fourth proportional to 78,365.68, 108,132 and 48,141.28 is: 66,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,365.68 : 108,132 = 48,141.28 : x
  2. Step 2: Convert to fraction form
    78,365.68/108,132 = 48,141.28/x
  3. Step 3: Cross multiply
    78,365.68x = 108,132 × 48,141.28
  4. Step 4: Simplify right side
    78,365.68x = 5,205,612,888.96
  5. Step 5: Solve for x
    x = 5,205,612,888.96/78,365.68
  6. Step 6: Final answer
    x = 66,427.20

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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.