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Finding the Fourth Proportional to 213,688.32, 294,864 and 118,182

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Solution

The fourth proportional to 213,688.32, 294,864 and 118,182 is: 163,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,688.32 : 294,864 = 118,182 : x
  2. Step 2: Convert to fraction form
    213,688.32/294,864 = 118,182/x
  3. Step 3: Cross multiply
    213,688.32x = 294,864 × 118,182
  4. Step 4: Simplify right side
    213,688.32x = 34,847,617,248
  5. Step 5: Solve for x
    x = 34,847,617,248/213,688.32
  6. Step 6: Final answer
    x = 163,076.85

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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.