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Finding the Fourth Proportional to 101,646, 140,271.48 and 56,934

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Solution

The fourth proportional to 101,646, 140,271.48 and 56,934 is: 78,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,646 : 140,271.48 = 56,934 : x
  2. Step 2: Convert to fraction form
    101,646/140,271.48 = 56,934/x
  3. Step 3: Cross multiply
    101,646x = 140,271.48 × 56,934
  4. Step 4: Simplify right side
    101,646x = 7,986,216,442.32
  5. Step 5: Solve for x
    x = 7,986,216,442.32/101,646
  6. Step 6: Final answer
    x = 78,568.92

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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.