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Finding the Fourth Proportional to 101,758.26, 140,408.30 and 61,445.02

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Solution

The fourth proportional to 101,758.26, 140,408.30 and 61,445.02 is: 84,783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,758.26 : 140,408.30 = 61,445.02 : x
  2. Step 2: Convert to fraction form
    101,758.26/140,408.30 = 61,445.02/x
  3. Step 3: Cross multiply
    101,758.26x = 140,408.30 × 61,445.02
  4. Step 4: Simplify right side
    101,758.26x = 8,627,390,801.67
  5. Step 5: Solve for x
    x = 8,627,390,801.67/101,758.26
  6. Step 6: Final answer
    x = 84,783.20

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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.