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Finding the Fourth Proportional to 101,692, 140,335 and 61,948

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Solution

The fourth proportional to 101,692, 140,335 and 61,948 is: 85,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,692 : 140,335 = 61,948 : x
  2. Step 2: Convert to fraction form
    101,692/140,335 = 61,948/x
  3. Step 3: Cross multiply
    101,692x = 140,335 × 61,948
  4. Step 4: Simplify right side
    101,692x = 8,693,472,580
  5. Step 5: Solve for x
    x = 8,693,472,580/101,692
  6. Step 6: Final answer
    x = 85,488.26

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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.