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Finding the Fourth Proportional to 142,287.32, 213,439.32 and 53,541.59

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Solution

The fourth proportional to 142,287.32, 213,439.32 and 53,541.59 is: 80,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,287.32 : 213,439.32 = 53,541.59 : x
  2. Step 2: Convert to fraction form
    142,287.32/213,439.32 = 53,541.59/x
  3. Step 3: Cross multiply
    142,287.32x = 213,439.32 × 53,541.59
  4. Step 4: Simplify right side
    142,287.32x = 11,427,879,494.12
  5. Step 5: Solve for x
    x = 11,427,879,494.12/142,287.32
  6. Step 6: Final answer
    x = 80,315.52

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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.