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Finding the Fourth Proportional to 101,670, 140,271 and 61,368.46

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Solution

The fourth proportional to 101,670, 140,271 and 61,368.46 is: 84,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,670 : 140,271 = 61,368.46 : x
  2. Step 2: Convert to fraction form
    101,670/140,271 = 61,368.46/x
  3. Step 3: Cross multiply
    101,670x = 140,271 × 61,368.46
  4. Step 4: Simplify right side
    101,670x = 8,608,215,252.66
  5. Step 5: Solve for x
    x = 8,608,215,252.66/101,670
  6. Step 6: Final answer
    x = 84,668.19

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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.