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Finding the Fourth Proportional to 65,808.64, 98,712.86 and 21,435.32

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Solution

The fourth proportional to 65,808.64, 98,712.86 and 21,435.32 is: 32,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,808.64 : 98,712.86 = 21,435.32 : x
  2. Step 2: Convert to fraction form
    65,808.64/98,712.86 = 21,435.32/x
  3. Step 3: Cross multiply
    65,808.64x = 98,712.86 × 21,435.32
  4. Step 4: Simplify right side
    65,808.64x = 2,115,941,742.22
  5. Step 5: Solve for x
    x = 2,115,941,742.22/65,808.64
  6. Step 6: Final answer
    x = 32,152.95

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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.