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Finding the Fourth Proportional to 65,881.40, 98,831.69 and 21,497.23

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Solution

The fourth proportional to 65,881.40, 98,831.69 and 21,497.23 is: 32,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,881.40 : 98,831.69 = 21,497.23 : x
  2. Step 2: Convert to fraction form
    65,881.40/98,831.69 = 21,497.23/x
  3. Step 3: Cross multiply
    65,881.40x = 98,831.69 × 21,497.23
  4. Step 4: Simplify right side
    65,881.40x = 2,124,606,969.57
  5. Step 5: Solve for x
    x = 2,124,606,969.57/65,881.40
  6. Step 6: Final answer
    x = 32,248.97

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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.