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Finding the Fourth Proportional to 101,950.78, 140,643.24 and 71,752.86

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Solution

The fourth proportional to 101,950.78, 140,643.24 and 71,752.86 is: 98,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,950.78 : 140,643.24 = 71,752.86 : x
  2. Step 2: Convert to fraction form
    101,950.78/140,643.24 = 71,752.86/x
  3. Step 3: Cross multiply
    101,950.78x = 140,643.24 × 71,752.86
  4. Step 4: Simplify right side
    101,950.78x = 10,091,554,709.67
  5. Step 5: Solve for x
    x = 10,091,554,709.67/101,950.78
  6. Step 6: Final answer
    x = 98,984.58

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1.5x scale

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.