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Finding the Fourth Proportional to 100,775.70, 151,111.26 and 29,689.11

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Solution

The fourth proportional to 100,775.70, 151,111.26 and 29,689.11 is: 44,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,775.70 : 151,111.26 = 29,689.11 : x
  2. Step 2: Convert to fraction form
    100,775.70/151,111.26 = 29,689.11/x
  3. Step 3: Cross multiply
    100,775.70x = 151,111.26 × 29,689.11
  4. Step 4: Simplify right side
    100,775.70x = 4,486,358,820.38
  5. Step 5: Solve for x
    x = 4,486,358,820.38/100,775.70
  6. Step 6: Final answer
    x = 44,518.26

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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.