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Finding the Fourth Proportional to 242,886.30, 335,048.31 and 142,264.86

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Solution

The fourth proportional to 242,886.30, 335,048.31 and 142,264.86 is: 196,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,886.30 : 335,048.31 = 142,264.86 : x
  2. Step 2: Convert to fraction form
    242,886.30/335,048.31 = 142,264.86/x
  3. Step 3: Cross multiply
    242,886.30x = 335,048.31 × 142,264.86
  4. Step 4: Simplify right side
    242,886.30x = 47,665,600,915.39
  5. Step 5: Solve for x
    x = 47,665,600,915.39/242,886.30
  6. Step 6: Final answer
    x = 196,246.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.