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Finding the Fourth Proportional to 101,435.66, 152,167.32 and 42,257.48

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Solution

The fourth proportional to 101,435.66, 152,167.32 and 42,257.48 is: 63,391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,435.66 : 152,167.32 = 42,257.48 : x
  2. Step 2: Convert to fraction form
    101,435.66/152,167.32 = 42,257.48/x
  3. Step 3: Cross multiply
    101,435.66x = 152,167.32 × 42,257.48
  4. Step 4: Simplify right side
    101,435.66x = 6,430,206,720.72
  5. Step 5: Solve for x
    x = 6,430,206,720.72/101,435.66
  6. Step 6: Final answer
    x = 63,391.98

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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.