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Finding the Fourth Proportional to 78,712.95, 118,047.86 and 47,098.14

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Solution

The fourth proportional to 78,712.95, 118,047.86 and 47,098.14 is: 70,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,712.95 : 118,047.86 = 47,098.14 : x
  2. Step 2: Convert to fraction form
    78,712.95/118,047.86 = 47,098.14/x
  3. Step 3: Cross multiply
    78,712.95x = 118,047.86 × 47,098.14
  4. Step 4: Simplify right side
    78,712.95x = 5,559,834,401.49
  5. Step 5: Solve for x
    x = 5,559,834,401.49/78,712.95
  6. Step 6: Final answer
    x = 70,634.30

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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.