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Finding the Fourth Proportional to 83,602.70, 115,411.41 and 52,991.09

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Solution

The fourth proportional to 83,602.70, 115,411.41 and 52,991.09 is: 73,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,602.70 : 115,411.41 = 52,991.09 : x
  2. Step 2: Convert to fraction form
    83,602.70/115,411.41 = 52,991.09/x
  3. Step 3: Cross multiply
    83,602.70x = 115,411.41 × 52,991.09
  4. Step 4: Simplify right side
    83,602.70x = 6,115,775,837.28
  5. Step 5: Solve for x
    x = 6,115,775,837.28/83,602.70
  6. Step 6: Final answer
    x = 73,152.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.