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Finding the Fourth Proportional to 78,958.17, 118,444.86 and 31,561.95

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Solution

The fourth proportional to 78,958.17, 118,444.86 and 31,561.95 is: 47,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,958.17 : 118,444.86 = 31,561.95 : x
  2. Step 2: Convert to fraction form
    78,958.17/118,444.86 = 31,561.95/x
  3. Step 3: Cross multiply
    78,958.17x = 118,444.86 × 31,561.95
  4. Step 4: Simplify right side
    78,958.17x = 3,738,350,749.08
  5. Step 5: Solve for x
    x = 3,738,350,749.08/78,958.17
  6. Step 6: Final answer
    x = 47,345.96

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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.