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Finding the Fourth Proportional to 65,719.76, 90,693.31 and 35,505.07

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Solution

The fourth proportional to 65,719.76, 90,693.31 and 35,505.07 is: 48,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,719.76 : 90,693.31 = 35,505.07 : x
  2. Step 2: Convert to fraction form
    65,719.76/90,693.31 = 35,505.07/x
  3. Step 3: Cross multiply
    65,719.76x = 90,693.31 × 35,505.07
  4. Step 4: Simplify right side
    65,719.76x = 3,220,072,182.11
  5. Step 5: Solve for x
    x = 3,220,072,182.11/65,719.76
  6. Step 6: Final answer
    x = 48,997.02

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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.