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Finding the Fourth Proportional to 65,878.60, 90,912.45 and 35,663.90

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Solution

The fourth proportional to 65,878.60, 90,912.45 and 35,663.90 is: 49,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,878.60 : 90,912.45 = 35,663.90 : x
  2. Step 2: Convert to fraction form
    65,878.60/90,912.45 = 35,663.90/x
  3. Step 3: Cross multiply
    65,878.60x = 90,912.45 × 35,663.90
  4. Step 4: Simplify right side
    65,878.60x = 3,242,292,347.24
  5. Step 5: Solve for x
    x = 3,242,292,347.24/65,878.60
  6. Step 6: Final answer
    x = 49,216.17

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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.