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Finding the Fourth Proportional to 78,383.40, 117,541.08 and 28,446.90

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Solution

The fourth proportional to 78,383.40, 117,541.08 and 28,446.90 is: 42,658.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,383.40 : 117,541.08 = 28,446.90 : x
  2. Step 2: Convert to fraction form
    78,383.40/117,541.08 = 28,446.90/x
  3. Step 3: Cross multiply
    78,383.40x = 117,541.08 × 28,446.90
  4. Step 4: Simplify right side
    78,383.40x = 3,343,679,348.65
  5. Step 5: Solve for x
    x = 3,343,679,348.65/78,383.40
  6. Step 6: Final answer
    x = 42,658.00

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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.