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Finding the Fourth Proportional to 78,590.31, 108,422.60 and 48,366.51

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Solution

The fourth proportional to 78,590.31, 108,422.60 and 48,366.51 is: 66,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,590.31 : 108,422.60 = 48,366.51 : x
  2. Step 2: Convert to fraction form
    78,590.31/108,422.60 = 48,366.51/x
  3. Step 3: Cross multiply
    78,590.31x = 108,422.60 × 48,366.51
  4. Step 4: Simplify right side
    78,590.31x = 5,244,022,525.29
  5. Step 5: Solve for x
    x = 5,244,022,525.29/78,590.31
  6. Step 6: Final answer
    x = 66,726.07

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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.