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Finding the Fourth Proportional to 243,664, 365,549.76 and 103,542.40

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Solution

The fourth proportional to 243,664, 365,549.76 and 103,542.40 is: 155,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,664 : 365,549.76 = 103,542.40 : x
  2. Step 2: Convert to fraction form
    243,664/365,549.76 = 103,542.40/x
  3. Step 3: Cross multiply
    243,664x = 365,549.76 × 103,542.40
  4. Step 4: Simplify right side
    243,664x = 37,849,899,469.82
  5. Step 5: Solve for x
    x = 37,849,899,469.82/243,664
  6. Step 6: Final answer
    x = 155,336.44

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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.