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Finding the Fourth Proportional to 65,848, 90,870.24 and 36,040

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Solution

The fourth proportional to 65,848, 90,870.24 and 36,040 is: 49,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,848 : 90,870.24 = 36,040 : x
  2. Step 2: Convert to fraction form
    65,848/90,870.24 = 36,040/x
  3. Step 3: Cross multiply
    65,848x = 90,870.24 × 36,040
  4. Step 4: Simplify right side
    65,848x = 3,274,963,449.60
  5. Step 5: Solve for x
    x = 3,274,963,449.60/65,848
  6. Step 6: Final answer
    x = 49,735.20

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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.