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Finding the Fourth Proportional to 77,874.45, 107,475.15 and 47,680.08

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Solution

The fourth proportional to 77,874.45, 107,475.15 and 47,680.08 is: 65,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,874.45 : 107,475.15 = 47,680.08 : x
  2. Step 2: Convert to fraction form
    77,874.45/107,475.15 = 47,680.08/x
  3. Step 3: Cross multiply
    77,874.45x = 107,475.15 × 47,680.08
  4. Step 4: Simplify right side
    77,874.45x = 5,124,423,750.01
  5. Step 5: Solve for x
    x = 5,124,423,750.01/77,874.45
  6. Step 6: Final answer
    x = 65,803.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.