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Finding the Fourth Proportional to 65,708.93, 98,527.88 and 20,721.80

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Solution

The fourth proportional to 65,708.93, 98,527.88 and 20,721.80 is: 31,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,708.93 : 98,527.88 = 20,721.80 : x
  2. Step 2: Convert to fraction form
    65,708.93/98,527.88 = 20,721.80/x
  3. Step 3: Cross multiply
    65,708.93x = 98,527.88 × 20,721.80
  4. Step 4: Simplify right side
    65,708.93x = 2,041,674,427.54
  5. Step 5: Solve for x
    x = 2,041,674,427.54/65,708.93
  6. Step 6: Final answer
    x = 31,071.49

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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.