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Finding the Fourth Proportional to 48,337, 66,705.24 and 28,207.78

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Solution

The fourth proportional to 48,337, 66,705.24 and 28,207.78 is: 38,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,337 : 66,705.24 = 28,207.78 : x
  2. Step 2: Convert to fraction form
    48,337/66,705.24 = 28,207.78/x
  3. Step 3: Cross multiply
    48,337x = 66,705.24 × 28,207.78
  4. Step 4: Simplify right side
    48,337x = 1,881,606,734.77
  5. Step 5: Solve for x
    x = 1,881,606,734.77/48,337
  6. Step 6: Final answer
    x = 38,926.84

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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.