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Finding the Fourth Proportional to 142,059.92, 213,124.58 and 47,289.92

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Solution

The fourth proportional to 142,059.92, 213,124.58 and 47,289.92 is: 70,946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,059.92 : 213,124.58 = 47,289.92 : x
  2. Step 2: Convert to fraction form
    142,059.92/213,124.58 = 47,289.92/x
  3. Step 3: Cross multiply
    142,059.92x = 213,124.58 × 47,289.92
  4. Step 4: Simplify right side
    142,059.92x = 10,078,644,338.23
  5. Step 5: Solve for x
    x = 10,078,644,338.23/142,059.92
  6. Step 6: Final answer
    x = 70,946.43

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1.5x scale

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.