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Finding the Fourth Proportional to 137,081.60, 205,233.60 and 105,718.40

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Solution

The fourth proportional to 137,081.60, 205,233.60 and 105,718.40 is: 158,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,081.60 : 205,233.60 = 105,718.40 : x
  2. Step 2: Convert to fraction form
    137,081.60/205,233.60 = 105,718.40/x
  3. Step 3: Cross multiply
    137,081.60x = 205,233.60 × 105,718.40
  4. Step 4: Simplify right side
    137,081.60x = 21,696,967,818.24
  5. Step 5: Solve for x
    x = 21,696,967,818.24/137,081.60
  6. Step 6: Final answer
    x = 158,277.75

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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.