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Finding the Fourth Proportional to 213,246.95, 319,870.83 and 55,475.15

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Solution

The fourth proportional to 213,246.95, 319,870.83 and 55,475.15 is: 83,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,246.95 : 319,870.83 = 55,475.15 : x
  2. Step 2: Convert to fraction form
    213,246.95/319,870.83 = 55,475.15/x
  3. Step 3: Cross multiply
    213,246.95x = 319,870.83 × 55,475.15
  4. Step 4: Simplify right side
    213,246.95x = 17,744,880,675.52
  5. Step 5: Solve for x
    x = 17,744,880,675.52/213,246.95
  6. Step 6: Final answer
    x = 83,212.82

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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.