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Finding the Fourth Proportional to 142,130.01, 213,192.08 and 47,367.07

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Solution

The fourth proportional to 142,130.01, 213,192.08 and 47,367.07 is: 71,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,130.01 : 213,192.08 = 47,367.07 : x
  2. Step 2: Convert to fraction form
    142,130.01/213,192.08 = 47,367.07/x
  3. Step 3: Cross multiply
    142,130.01x = 213,192.08 × 47,367.07
  4. Step 4: Simplify right side
    142,130.01x = 10,098,284,176.81
  5. Step 5: Solve for x
    x = 10,098,284,176.81/142,130.01
  6. Step 6: Final answer
    x = 71,049.63

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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.