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Finding the Fourth Proportional to 77,323.84, 115,981.47 and 21,159.90

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Solution

The fourth proportional to 77,323.84, 115,981.47 and 21,159.90 is: 31,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,323.84 : 115,981.47 = 21,159.90 : x
  2. Step 2: Convert to fraction form
    77,323.84/115,981.47 = 21,159.90/x
  3. Step 3: Cross multiply
    77,323.84x = 115,981.47 × 21,159.90
  4. Step 4: Simplify right side
    77,323.84x = 2,454,156,307.05
  5. Step 5: Solve for x
    x = 2,454,156,307.05/77,323.84
  6. Step 6: Final answer
    x = 31,738.68

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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.