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Finding the Fourth Proportional to 70,764.31, 97,656.38 and 38,500.77

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Solution

The fourth proportional to 70,764.31, 97,656.38 and 38,500.77 is: 53,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,764.31 : 97,656.38 = 38,500.77 : x
  2. Step 2: Convert to fraction form
    70,764.31/97,656.38 = 38,500.77/x
  3. Step 3: Cross multiply
    70,764.31x = 97,656.38 × 38,500.77
  4. Step 4: Simplify right side
    70,764.31x = 3,759,845,810.75
  5. Step 5: Solve for x
    x = 3,759,845,810.75/70,764.31
  6. Step 6: Final answer
    x = 53,131.95

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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.