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Finding the Fourth Proportional to 78,484.56, 117,741.36 and 25,897.68

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Solution

The fourth proportional to 78,484.56, 117,741.36 and 25,897.68 is: 38,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,484.56 : 117,741.36 = 25,897.68 : x
  2. Step 2: Convert to fraction form
    78,484.56/117,741.36 = 25,897.68/x
  3. Step 3: Cross multiply
    78,484.56x = 117,741.36 × 25,897.68
  4. Step 4: Simplify right side
    78,484.56x = 3,049,228,064.04
  5. Step 5: Solve for x
    x = 3,049,228,064.04/78,484.56
  6. Step 6: Final answer
    x = 38,851.31

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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.