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Finding the Fourth Proportional to 78,954.95, 118,451.01 and 25,646.76

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Solution

The fourth proportional to 78,954.95, 118,451.01 and 25,646.76 is: 38,476.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,954.95 : 118,451.01 = 25,646.76 : x
  2. Step 2: Convert to fraction form
    78,954.95/118,451.01 = 25,646.76/x
  3. Step 3: Cross multiply
    78,954.95x = 118,451.01 × 25,646.76
  4. Step 4: Simplify right side
    78,954.95x = 3,037,884,084.86
  5. Step 5: Solve for x
    x = 3,037,884,084.86/78,954.95
  6. Step 6: Final answer
    x = 38,476.17

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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.