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Finding the Fourth Proportional to 142,284.70, 213,430.70 and 67,387.24

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Solution

The fourth proportional to 142,284.70, 213,430.70 and 67,387.24 is: 101,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,284.70 : 213,430.70 = 67,387.24 : x
  2. Step 2: Convert to fraction form
    142,284.70/213,430.70 = 67,387.24/x
  3. Step 3: Cross multiply
    142,284.70x = 213,430.70 × 67,387.24
  4. Step 4: Simplify right side
    142,284.70x = 14,382,505,804.27
  5. Step 5: Solve for x
    x = 14,382,505,804.27/142,284.70
  6. Step 6: Final answer
    x = 101,082.59

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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.