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Finding the Fourth Proportional to 105,371.16, 157,890.28 and 85,552.89

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Solution

The fourth proportional to 105,371.16, 157,890.28 and 85,552.89 is: 128,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,371.16 : 157,890.28 = 85,552.89 : x
  2. Step 2: Convert to fraction form
    105,371.16/157,890.28 = 85,552.89/x
  3. Step 3: Cross multiply
    105,371.16x = 157,890.28 × 85,552.89
  4. Step 4: Simplify right side
    105,371.16x = 13,507,969,756.91
  5. Step 5: Solve for x
    x = 13,507,969,756.91/105,371.16
  6. Step 6: Final answer
    x = 128,194.18

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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.