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Finding the Fourth Proportional to 78,003.56, 117,005.52 and 25,417.14

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Solution

The fourth proportional to 78,003.56, 117,005.52 and 25,417.14 is: 38,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,003.56 : 117,005.52 = 25,417.14 : x
  2. Step 2: Convert to fraction form
    78,003.56/117,005.52 = 25,417.14/x
  3. Step 3: Cross multiply
    78,003.56x = 117,005.52 × 25,417.14
  4. Step 4: Simplify right side
    78,003.56x = 2,973,945,682.61
  5. Step 5: Solve for x
    x = 2,973,945,682.61/78,003.56
  6. Step 6: Final answer
    x = 38,125.77

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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.