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Finding the Fourth Proportional to 64,941.04, 89,617.88 and 38,078

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Solution

The fourth proportional to 64,941.04, 89,617.88 and 38,078 is: 52,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,941.04 : 89,617.88 = 38,078 : x
  2. Step 2: Convert to fraction form
    64,941.04/89,617.88 = 38,078/x
  3. Step 3: Cross multiply
    64,941.04x = 89,617.88 × 38,078
  4. Step 4: Simplify right side
    64,941.04x = 3,412,469,634.64
  5. Step 5: Solve for x
    x = 3,412,469,634.64/64,941.04
  6. Step 6: Final answer
    x = 52,547.20

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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.