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Finding the Fourth Proportional to 78,392.16, 117,588 and 31,644.48

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Solution

The fourth proportional to 78,392.16, 117,588 and 31,644.48 is: 47,466.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,392.16 : 117,588 = 31,644.48 : x
  2. Step 2: Convert to fraction form
    78,392.16/117,588 = 31,644.48/x
  3. Step 3: Cross multiply
    78,392.16x = 117,588 × 31,644.48
  4. Step 4: Simplify right side
    78,392.16x = 3,721,011,114.24
  5. Step 5: Solve for x
    x = 3,721,011,114.24/78,392.16
  6. Step 6: Final answer
    x = 47,466.62

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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.