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Finding the Fourth Proportional to 101,266.32, 151,895.64 and 31,143.72

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Solution

The fourth proportional to 101,266.32, 151,895.64 and 31,143.72 is: 46,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,266.32 : 151,895.64 = 31,143.72 : x
  2. Step 2: Convert to fraction form
    101,266.32/151,895.64 = 31,143.72/x
  3. Step 3: Cross multiply
    101,266.32x = 151,895.64 × 31,143.72
  4. Step 4: Simplify right side
    101,266.32x = 4,730,595,281.38
  5. Step 5: Solve for x
    x = 4,730,595,281.38/101,266.32
  6. Step 6: Final answer
    x = 46,714.40

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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.