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Finding the Fourth Proportional to 213,191.55, 319,988.25 and 156,859.89

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Solution

The fourth proportional to 213,191.55, 319,988.25 and 156,859.89 is: 235,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,191.55 : 319,988.25 = 156,859.89 : x
  2. Step 2: Convert to fraction form
    213,191.55/319,988.25 = 156,859.89/x
  3. Step 3: Cross multiply
    213,191.55x = 319,988.25 × 156,859.89
  4. Step 4: Simplify right side
    213,191.55x = 50,193,321,696.29
  5. Step 5: Solve for x
    x = 50,193,321,696.29/213,191.55
  6. Step 6: Final answer
    x = 235,437.67

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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.