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Finding the Fourth Proportional to 77,443.68, 115,872.06 and 45,870.68

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Solution

The fourth proportional to 77,443.68, 115,872.06 and 45,870.68 is: 68,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,443.68 : 115,872.06 = 45,870.68 : x
  2. Step 2: Convert to fraction form
    77,443.68/115,872.06 = 45,870.68/x
  3. Step 3: Cross multiply
    77,443.68x = 115,872.06 × 45,870.68
  4. Step 4: Simplify right side
    77,443.68x = 5,315,130,185.20
  5. Step 5: Solve for x
    x = 5,315,130,185.20/77,443.68
  6. Step 6: Final answer
    x = 68,632.20

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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.