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Finding the Fourth Proportional to 66,864.52, 100,272.90 and 31,319.77

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Solution

The fourth proportional to 66,864.52, 100,272.90 and 31,319.77 is: 46,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,864.52 : 100,272.90 = 31,319.77 : x
  2. Step 2: Convert to fraction form
    66,864.52/100,272.90 = 31,319.77/x
  3. Step 3: Cross multiply
    66,864.52x = 100,272.90 × 31,319.77
  4. Step 4: Simplify right side
    66,864.52x = 3,140,524,008.63
  5. Step 5: Solve for x
    x = 3,140,524,008.63/66,864.52
  6. Step 6: Final answer
    x = 46,968.47

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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.