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Finding the Fourth Proportional to 64,641.52, 96,972 and 20,258.40

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Solution

The fourth proportional to 64,641.52, 96,972 and 20,258.40 is: 30,390.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,641.52 : 96,972 = 20,258.40 : x
  2. Step 2: Convert to fraction form
    64,641.52/96,972 = 20,258.40/x
  3. Step 3: Cross multiply
    64,641.52x = 96,972 × 20,258.40
  4. Step 4: Simplify right side
    64,641.52x = 1,964,497,564.80
  5. Step 5: Solve for x
    x = 1,964,497,564.80/64,641.52
  6. Step 6: Final answer
    x = 30,390.65

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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.