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Finding the Fourth Proportional to 78,067.52, 117,088.02 and 21,894.74

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Solution

The fourth proportional to 78,067.52, 117,088.02 and 21,894.74 is: 32,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,067.52 : 117,088.02 = 21,894.74 : x
  2. Step 2: Convert to fraction form
    78,067.52/117,088.02 = 21,894.74/x
  3. Step 3: Cross multiply
    78,067.52x = 117,088.02 × 21,894.74
  4. Step 4: Simplify right side
    78,067.52x = 2,563,611,755.01
  5. Step 5: Solve for x
    x = 2,563,611,755.01/78,067.52
  6. Step 6: Final answer
    x = 32,838.39

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1.5x scale

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.