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Finding the Fourth Proportional to 142,246.41, 213,371.37 and 42,409.86

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Solution

The fourth proportional to 142,246.41, 213,371.37 and 42,409.86 is: 63,615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,246.41 : 213,371.37 = 42,409.86 : x
  2. Step 2: Convert to fraction form
    142,246.41/213,371.37 = 42,409.86/x
  3. Step 3: Cross multiply
    142,246.41x = 213,371.37 × 42,409.86
  4. Step 4: Simplify right side
    142,246.41x = 9,049,049,929.71
  5. Step 5: Solve for x
    x = 9,049,049,929.71/142,246.41
  6. Step 6: Final answer
    x = 63,615.31

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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.