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Finding the Fourth Proportional to 77,981.86, 116,952.02 and 21,818.50

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Solution

The fourth proportional to 77,981.86, 116,952.02 and 21,818.50 is: 32,721.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,981.86 : 116,952.02 = 21,818.50 : x
  2. Step 2: Convert to fraction form
    77,981.86/116,952.02 = 21,818.50/x
  3. Step 3: Cross multiply
    77,981.86x = 116,952.02 × 21,818.50
  4. Step 4: Simplify right side
    77,981.86x = 2,551,717,648.37
  5. Step 5: Solve for x
    x = 2,551,717,648.37/77,981.86
  6. Step 6: Final answer
    x = 32,721.94

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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.