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Finding the Fourth Proportional to 213,180.80, 319,886.40 and 94,870.40

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Solution

The fourth proportional to 213,180.80, 319,886.40 and 94,870.40 is: 142,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,180.80 : 319,886.40 = 94,870.40 : x
  2. Step 2: Convert to fraction form
    213,180.80/319,886.40 = 94,870.40/x
  3. Step 3: Cross multiply
    213,180.80x = 319,886.40 × 94,870.40
  4. Step 4: Simplify right side
    213,180.80x = 30,347,750,722.56
  5. Step 5: Solve for x
    x = 30,347,750,722.56/213,180.80
  6. Step 6: Final answer
    x = 142,356.87

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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.