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Finding the Fourth Proportional to 65,831.67, 98,728.65 and 21,462.30

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Solution

The fourth proportional to 65,831.67, 98,728.65 and 21,462.30 is: 32,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,831.67 : 98,728.65 = 21,462.30 : x
  2. Step 2: Convert to fraction form
    65,831.67/98,728.65 = 21,462.30/x
  3. Step 3: Cross multiply
    65,831.67x = 98,728.65 × 21,462.30
  4. Step 4: Simplify right side
    65,831.67x = 2,118,943,904.90
  5. Step 5: Solve for x
    x = 2,118,943,904.90/65,831.67
  6. Step 6: Final answer
    x = 32,187.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.