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Finding the Fourth Proportional to 189,085.86, 260,938.53 and 103,044.87

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Solution

The fourth proportional to 189,085.86, 260,938.53 and 103,044.87 is: 142,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,085.86 : 260,938.53 = 103,044.87 : x
  2. Step 2: Convert to fraction form
    189,085.86/260,938.53 = 103,044.87/x
  3. Step 3: Cross multiply
    189,085.86x = 260,938.53 × 103,044.87
  4. Step 4: Simplify right side
    189,085.86x = 26,888,376,116.53
  5. Step 5: Solve for x
    x = 26,888,376,116.53/189,085.86
  6. Step 6: Final answer
    x = 142,201.94

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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.