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Finding the Fourth Proportional to 65,748, 98,601.12 and 21,364.48

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Solution

The fourth proportional to 65,748, 98,601.12 and 21,364.48 is: 32,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,748 : 98,601.12 = 21,364.48 : x
  2. Step 2: Convert to fraction form
    65,748/98,601.12 = 21,364.48/x
  3. Step 3: Cross multiply
    65,748x = 98,601.12 × 21,364.48
  4. Step 4: Simplify right side
    65,748x = 2,106,561,656.22
  5. Step 5: Solve for x
    x = 2,106,561,656.22/65,748
  6. Step 6: Final answer
    x = 32,039.94

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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.