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Finding the Fourth Proportional to 78,658.12, 117,888.63 and 61,952.14

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Solution

The fourth proportional to 78,658.12, 117,888.63 and 61,952.14 is: 92,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,658.12 : 117,888.63 = 61,952.14 : x
  2. Step 2: Convert to fraction form
    78,658.12/117,888.63 = 61,952.14/x
  3. Step 3: Cross multiply
    78,658.12x = 117,888.63 × 61,952.14
  4. Step 4: Simplify right side
    78,658.12x = 7,303,452,910.17
  5. Step 5: Solve for x
    x = 7,303,452,910.17/78,658.12
  6. Step 6: Final answer
    x = 92,850.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.