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Finding the Fourth Proportional to 78,869.32, 108,804.13 and 48,655.91

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Solution

The fourth proportional to 78,869.32, 108,804.13 and 48,655.91 is: 67,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,869.32 : 108,804.13 = 48,655.91 : x
  2. Step 2: Convert to fraction form
    78,869.32/108,804.13 = 48,655.91/x
  3. Step 3: Cross multiply
    78,869.32x = 108,804.13 × 48,655.91
  4. Step 4: Simplify right side
    78,869.32x = 5,293,964,107.28
  5. Step 5: Solve for x
    x = 5,293,964,107.28/78,869.32
  6. Step 6: Final answer
    x = 67,123.24

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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.