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Finding the Fourth Proportional to 77,881.70, 116,822.55 and 51,309.65

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Solution

The fourth proportional to 77,881.70, 116,822.55 and 51,309.65 is: 76,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881.70 : 116,822.55 = 51,309.65 : x
  2. Step 2: Convert to fraction form
    77,881.70/116,822.55 = 51,309.65/x
  3. Step 3: Cross multiply
    77,881.70x = 116,822.55 × 51,309.65
  4. Step 4: Simplify right side
    77,881.70x = 5,994,124,152.61
  5. Step 5: Solve for x
    x = 5,994,124,152.61/77,881.70
  6. Step 6: Final answer
    x = 76,964.48

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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.