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Finding the Fourth Proportional to 142,057.17, 213,120.45 and 47,287.17

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Solution

The fourth proportional to 142,057.17, 213,120.45 and 47,287.17 is: 70,942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,057.17 : 213,120.45 = 47,287.17 : x
  2. Step 2: Convert to fraction form
    142,057.17/213,120.45 = 47,287.17/x
  3. Step 3: Cross multiply
    142,057.17x = 213,120.45 × 47,287.17
  4. Step 4: Simplify right side
    142,057.17x = 10,077,862,949.63
  5. Step 5: Solve for x
    x = 10,077,862,949.63/142,057.17
  6. Step 6: Final answer
    x = 70,942.30

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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.