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Finding the Fourth Proportional to 65,748, 98,491.68 and 30,639.36

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Solution

The fourth proportional to 65,748, 98,491.68 and 30,639.36 is: 45,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,748 : 98,491.68 = 30,639.36 : x
  2. Step 2: Convert to fraction form
    65,748/98,491.68 = 30,639.36/x
  3. Step 3: Cross multiply
    65,748x = 98,491.68 × 30,639.36
  4. Step 4: Simplify right side
    65,748x = 3,017,722,040.52
  5. Step 5: Solve for x
    x = 3,017,722,040.52/65,748
  6. Step 6: Final answer
    x = 45,898.31

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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.