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Finding the Fourth Proportional to 65,884.68, 90,921.59 and 35,670.66

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Solution

The fourth proportional to 65,884.68, 90,921.59 and 35,670.66 is: 49,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,884.68 : 90,921.59 = 35,670.66 : x
  2. Step 2: Convert to fraction form
    65,884.68/90,921.59 = 35,670.66/x
  3. Step 3: Cross multiply
    65,884.68x = 90,921.59 × 35,670.66
  4. Step 4: Simplify right side
    65,884.68x = 3,243,232,490.59
  5. Step 5: Solve for x
    x = 3,243,232,490.59/65,884.68
  6. Step 6: Final answer
    x = 49,225.90

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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.