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Finding the Fourth Proportional to 142,430.76, 213,574.02 and 47,627.22

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Solution

The fourth proportional to 142,430.76, 213,574.02 and 47,627.22 is: 71,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,430.76 : 213,574.02 = 47,627.22 : x
  2. Step 2: Convert to fraction form
    142,430.76/213,574.02 = 47,627.22/x
  3. Step 3: Cross multiply
    142,430.76x = 213,574.02 × 47,627.22
  4. Step 4: Simplify right side
    142,430.76x = 10,171,936,836.82
  5. Step 5: Solve for x
    x = 10,171,936,836.82/142,430.76
  6. Step 6: Final answer
    x = 71,416.71

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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.