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Finding the Fourth Proportional to 65,788, 90,787.44 and 35,980

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Solution

The fourth proportional to 65,788, 90,787.44 and 35,980 is: 49,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,788 : 90,787.44 = 35,980 : x
  2. Step 2: Convert to fraction form
    65,788/90,787.44 = 35,980/x
  3. Step 3: Cross multiply
    65,788x = 90,787.44 × 35,980
  4. Step 4: Simplify right side
    65,788x = 3,266,532,091.20
  5. Step 5: Solve for x
    x = 3,266,532,091.20/65,788
  6. Step 6: Final answer
    x = 49,652.40

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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.