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Finding the Fourth Proportional to 78,970.95, 118,503.23 and 29,086.11

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Solution

The fourth proportional to 78,970.95, 118,503.23 and 29,086.11 is: 43,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,970.95 : 118,503.23 = 29,086.11 : x
  2. Step 2: Convert to fraction form
    78,970.95/118,503.23 = 29,086.11/x
  3. Step 3: Cross multiply
    78,970.95x = 118,503.23 × 29,086.11
  4. Step 4: Simplify right side
    78,970.95x = 3,446,797,837.70
  5. Step 5: Solve for x
    x = 3,446,797,837.70/78,970.95
  6. Step 6: Final answer
    x = 43,646.40

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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.