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Finding the Fourth Proportional to 261,066.64, 391,408.40 and 83,471.44

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Solution

The fourth proportional to 261,066.64, 391,408.40 and 83,471.44 is: 125,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,066.64 : 391,408.40 = 83,471.44 : x
  2. Step 2: Convert to fraction form
    261,066.64/391,408.40 = 83,471.44/x
  3. Step 3: Cross multiply
    261,066.64x = 391,408.40 × 83,471.44
  4. Step 4: Simplify right side
    261,066.64x = 32,671,422,776.10
  5. Step 5: Solve for x
    x = 32,671,422,776.10/261,066.64
  6. Step 6: Final answer
    x = 125,145.91

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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.