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Finding the Fourth Proportional to 77,172, 115,706.16 and 62,138.40

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Solution

The fourth proportional to 77,172, 115,706.16 and 62,138.40 is: 93,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,172 : 115,706.16 = 62,138.40 : x
  2. Step 2: Convert to fraction form
    77,172/115,706.16 = 62,138.40/x
  3. Step 3: Cross multiply
    77,172x = 115,706.16 × 62,138.40
  4. Step 4: Simplify right side
    77,172x = 7,189,795,652.54
  5. Step 5: Solve for x
    x = 7,189,795,652.54/77,172
  6. Step 6: Final answer
    x = 93,165.86

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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.