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Finding the Fourth Proportional to 78,327.32, 117,607.62 and 31,671.32

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Solution

The fourth proportional to 78,327.32, 117,607.62 and 31,671.32 is: 47,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,327.32 : 117,607.62 = 31,671.32 : x
  2. Step 2: Convert to fraction form
    78,327.32/117,607.62 = 31,671.32/x
  3. Step 3: Cross multiply
    78,327.32x = 117,607.62 × 31,671.32
  4. Step 4: Simplify right side
    78,327.32x = 3,724,788,567.46
  5. Step 5: Solve for x
    x = 3,724,788,567.46/78,327.32
  6. Step 6: Final answer
    x = 47,554.14

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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.