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Finding the Fourth Proportional to 142,560.83, 213,888.74 and 47,800.37

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Solution

The fourth proportional to 142,560.83, 213,888.74 and 47,800.37 is: 71,716.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,560.83 : 213,888.74 = 47,800.37 : x
  2. Step 2: Convert to fraction form
    142,560.83/213,888.74 = 47,800.37/x
  3. Step 3: Cross multiply
    142,560.83x = 213,888.74 × 47,800.37
  4. Step 4: Simplify right side
    142,560.83x = 10,223,961,206.55
  5. Step 5: Solve for x
    x = 10,223,961,206.55/142,560.83
  6. Step 6: Final answer
    x = 71,716.48

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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.