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Finding the Fourth Proportional to 83,903.76, 115,692.36 and 64,740.24

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Solution

The fourth proportional to 83,903.76, 115,692.36 and 64,740.24 is: 89,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,903.76 : 115,692.36 = 64,740.24 : x
  2. Step 2: Convert to fraction form
    83,903.76/115,692.36 = 64,740.24/x
  3. Step 3: Cross multiply
    83,903.76x = 115,692.36 × 64,740.24
  4. Step 4: Simplify right side
    83,903.76x = 7,489,951,152.57
  5. Step 5: Solve for x
    x = 7,489,951,152.57/83,903.76
  6. Step 6: Final answer
    x = 89,268.36

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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.