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Finding the Fourth Proportional to 65,073.64, 89,802.30 and 38,216.47

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Solution

The fourth proportional to 65,073.64, 89,802.30 and 38,216.47 is: 52,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,073.64 : 89,802.30 = 38,216.47 : x
  2. Step 2: Convert to fraction form
    65,073.64/89,802.30 = 38,216.47/x
  3. Step 3: Cross multiply
    65,073.64x = 89,802.30 × 38,216.47
  4. Step 4: Simplify right side
    65,073.64x = 3,431,926,903.88
  5. Step 5: Solve for x
    x = 3,431,926,903.88/65,073.64
  6. Step 6: Final answer
    x = 52,739.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.