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Finding the Fourth Proportional to 78,597.16, 117,816.90 and 36,506.79

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Solution

The fourth proportional to 78,597.16, 117,816.90 and 36,506.79 is: 54,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,597.16 : 117,816.90 = 36,506.79 : x
  2. Step 2: Convert to fraction form
    78,597.16/117,816.90 = 36,506.79/x
  3. Step 3: Cross multiply
    78,597.16x = 117,816.90 × 36,506.79
  4. Step 4: Simplify right side
    78,597.16x = 4,301,116,689.85
  5. Step 5: Solve for x
    x = 4,301,116,689.85/78,597.16
  6. Step 6: Final answer
    x = 54,723.57

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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.