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Finding the Fourth Proportional to 77,309.40, 115,877.70 and 44,045.40

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Solution

The fourth proportional to 77,309.40, 115,877.70 and 44,045.40 is: 66,018.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,309.40 : 115,877.70 = 44,045.40 : x
  2. Step 2: Convert to fraction form
    77,309.40/115,877.70 = 44,045.40/x
  3. Step 3: Cross multiply
    77,309.40x = 115,877.70 × 44,045.40
  4. Step 4: Simplify right side
    77,309.40x = 5,103,879,647.58
  5. Step 5: Solve for x
    x = 5,103,879,647.58/77,309.40
  6. Step 6: Final answer
    x = 66,018.88

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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.