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Finding the Fourth Proportional to 212,686.62, 319,162.94 and 86,326.86

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Solution

The fourth proportional to 212,686.62, 319,162.94 and 86,326.86 is: 129,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,686.62 : 319,162.94 = 86,326.86 : x
  2. Step 2: Convert to fraction form
    212,686.62/319,162.94 = 86,326.86/x
  3. Step 3: Cross multiply
    212,686.62x = 319,162.94 × 86,326.86
  4. Step 4: Simplify right side
    212,686.62x = 27,552,332,411.12
  5. Step 5: Solve for x
    x = 27,552,332,411.12/212,686.62
  6. Step 6: Final answer
    x = 129,544.27

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1.5x scale

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.