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Finding the Fourth Proportional to 212,292.56, 318,473.40 and 64,514

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Solution

The fourth proportional to 212,292.56, 318,473.40 and 64,514 is: 96,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,292.56 : 318,473.40 = 64,514 : x
  2. Step 2: Convert to fraction form
    212,292.56/318,473.40 = 64,514/x
  3. Step 3: Cross multiply
    212,292.56x = 318,473.40 × 64,514
  4. Step 4: Simplify right side
    212,292.56x = 20,545,992,927.60
  5. Step 5: Solve for x
    x = 20,545,992,927.60/212,292.56
  6. Step 6: Final answer
    x = 96,781.50

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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.