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Finding the Fourth Proportional to 142,356.33, 213,549.08 and 53,684.42

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Solution

The fourth proportional to 142,356.33, 213,549.08 and 53,684.42 is: 80,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,356.33 : 213,549.08 = 53,684.42 : x
  2. Step 2: Convert to fraction form
    142,356.33/213,549.08 = 53,684.42/x
  3. Step 3: Cross multiply
    142,356.33x = 213,549.08 × 53,684.42
  4. Step 4: Simplify right side
    142,356.33x = 11,464,257,165.17
  5. Step 5: Solve for x
    x = 11,464,257,165.17/142,356.33
  6. Step 6: Final answer
    x = 80,532.12

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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.