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Finding the Fourth Proportional to 78,005.41, 116,985.80 and 25,419.49

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Solution

The fourth proportional to 78,005.41, 116,985.80 and 25,419.49 is: 38,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005.41 : 116,985.80 = 25,419.49 : x
  2. Step 2: Convert to fraction form
    78,005.41/116,985.80 = 25,419.49/x
  3. Step 3: Cross multiply
    78,005.41x = 116,985.80 × 25,419.49
  4. Step 4: Simplify right side
    78,005.41x = 2,973,719,246.14
  5. Step 5: Solve for x
    x = 2,973,719,246.14/78,005.41
  6. Step 6: Final answer
    x = 38,121.96

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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.