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Finding the Fourth Proportional to 148,778.08, 205,318.48 and 81,710.08

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Solution

The fourth proportional to 148,778.08, 205,318.48 and 81,710.08 is: 112,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,778.08 : 205,318.48 = 81,710.08 : x
  2. Step 2: Convert to fraction form
    148,778.08/205,318.48 = 81,710.08/x
  3. Step 3: Cross multiply
    148,778.08x = 205,318.48 × 81,710.08
  4. Step 4: Simplify right side
    148,778.08x = 16,776,589,426.28
  5. Step 5: Solve for x
    x = 16,776,589,426.28/148,778.08
  6. Step 6: Final answer
    x = 112,762.51

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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.