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Finding the Fourth Proportional to 65,788.32, 98,694.48 and 21,417.12

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Solution

The fourth proportional to 65,788.32, 98,694.48 and 21,417.12 is: 32,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,788.32 : 98,694.48 = 21,417.12 : x
  2. Step 2: Convert to fraction form
    65,788.32/98,694.48 = 21,417.12/x
  3. Step 3: Cross multiply
    65,788.32x = 98,694.48 × 21,417.12
  4. Step 4: Simplify right side
    65,788.32x = 2,113,751,521.50
  5. Step 5: Solve for x
    x = 2,113,751,521.50/65,788.32
  6. Step 6: Final answer
    x = 32,129.59

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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.