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Finding the Fourth Proportional to 142,113.99, 213,120.95 and 47,318.43

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Solution

The fourth proportional to 142,113.99, 213,120.95 and 47,318.43 is: 70,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,113.99 : 213,120.95 = 47,318.43 : x
  2. Step 2: Convert to fraction form
    142,113.99/213,120.95 = 47,318.43/x
  3. Step 3: Cross multiply
    142,113.99x = 213,120.95 × 47,318.43
  4. Step 4: Simplify right side
    142,113.99x = 10,084,548,517.52
  5. Step 5: Solve for x
    x = 10,084,548,517.52/142,113.99
  6. Step 6: Final answer
    x = 70,960.98

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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.