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Finding the Fourth Proportional to 78,746.80, 117,832.20 and 58,010.80

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Solution

The fourth proportional to 78,746.80, 117,832.20 and 58,010.80 is: 86,804.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,746.80 : 117,832.20 = 58,010.80 : x
  2. Step 2: Convert to fraction form
    78,746.80/117,832.20 = 58,010.80/x
  3. Step 3: Cross multiply
    78,746.80x = 117,832.20 × 58,010.80
  4. Step 4: Simplify right side
    78,746.80x = 6,835,540,187.76
  5. Step 5: Solve for x
    x = 6,835,540,187.76/78,746.80
  6. Step 6: Final answer
    x = 86,804.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.