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Finding the Fourth Proportional to 78,370.95, 117,564.62 and 25,784.58

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Solution

The fourth proportional to 78,370.95, 117,564.62 and 25,784.58 is: 38,679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,370.95 : 117,564.62 = 25,784.58 : x
  2. Step 2: Convert to fraction form
    78,370.95/117,564.62 = 25,784.58/x
  3. Step 3: Cross multiply
    78,370.95x = 117,564.62 × 25,784.58
  4. Step 4: Simplify right side
    78,370.95x = 3,031,354,220.64
  5. Step 5: Solve for x
    x = 3,031,354,220.64/78,370.95
  6. Step 6: Final answer
    x = 38,679.56

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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.