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Finding the Fourth Proportional to 78,038.52, 117,063.08 and 27,431.40

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Solution

The fourth proportional to 78,038.52, 117,063.08 and 27,431.40 is: 41,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,038.52 : 117,063.08 = 27,431.40 : x
  2. Step 2: Convert to fraction form
    78,038.52/117,063.08 = 27,431.40/x
  3. Step 3: Cross multiply
    78,038.52x = 117,063.08 × 27,431.40
  4. Step 4: Simplify right side
    78,038.52x = 3,211,204,172.71
  5. Step 5: Solve for x
    x = 3,211,204,172.71/78,038.52
  6. Step 6: Final answer
    x = 41,148.96

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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.