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Finding the Fourth Proportional to 77,894.68, 116,859.30 and 36,319

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Solution

The fourth proportional to 77,894.68, 116,859.30 and 36,319 is: 54,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,894.68 : 116,859.30 = 36,319 : x
  2. Step 2: Convert to fraction form
    77,894.68/116,859.30 = 36,319/x
  3. Step 3: Cross multiply
    77,894.68x = 116,859.30 × 36,319
  4. Step 4: Simplify right side
    77,894.68x = 4,244,212,916.70
  5. Step 5: Solve for x
    x = 4,244,212,916.70/77,894.68
  6. Step 6: Final answer
    x = 54,486.56

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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.