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Finding the Fourth Proportional to 65,858.60, 90,885.14 and 35,643.92

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Solution

The fourth proportional to 65,858.60, 90,885.14 and 35,643.92 is: 49,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,858.60 : 90,885.14 = 35,643.92 : x
  2. Step 2: Convert to fraction form
    65,858.60/90,885.14 = 35,643.92/x
  3. Step 3: Cross multiply
    65,858.60x = 90,885.14 × 35,643.92
  4. Step 4: Simplify right side
    65,858.60x = 3,239,502,160.37
  5. Step 5: Solve for x
    x = 3,239,502,160.37/65,858.60
  6. Step 6: Final answer
    x = 49,188.75

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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.