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Finding the Fourth Proportional to 65,642.64, 98,465.34 and 21,269.28

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Solution

The fourth proportional to 65,642.64, 98,465.34 and 21,269.28 is: 31,904.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,642.64 : 98,465.34 = 21,269.28 : x
  2. Step 2: Convert to fraction form
    65,642.64/98,465.34 = 21,269.28/x
  3. Step 3: Cross multiply
    65,642.64x = 98,465.34 × 21,269.28
  4. Step 4: Simplify right side
    65,642.64x = 2,094,286,886.76
  5. Step 5: Solve for x
    x = 2,094,286,886.76/65,642.64
  6. Step 6: Final answer
    x = 31,904.37

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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.