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Finding the Fourth Proportional to 77,114.90, 115,672.35 and 68,206.10

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Solution

The fourth proportional to 77,114.90, 115,672.35 and 68,206.10 is: 102,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,114.90 : 115,672.35 = 68,206.10 : x
  2. Step 2: Convert to fraction form
    77,114.90/115,672.35 = 68,206.10/x
  3. Step 3: Cross multiply
    77,114.90x = 115,672.35 × 68,206.10
  4. Step 4: Simplify right side
    77,114.90x = 7,889,559,871.34
  5. Step 5: Solve for x
    x = 7,889,559,871.34/77,114.90
  6. Step 6: Final answer
    x = 102,309.15

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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.