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Finding the Fourth Proportional to 101,842.68, 152,780.94 and 42,682.80

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Solution

The fourth proportional to 101,842.68, 152,780.94 and 42,682.80 is: 64,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,842.68 : 152,780.94 = 42,682.80 : x
  2. Step 2: Convert to fraction form
    101,842.68/152,780.94 = 42,682.80/x
  3. Step 3: Cross multiply
    101,842.68x = 152,780.94 × 42,682.80
  4. Step 4: Simplify right side
    101,842.68x = 6,521,118,305.83
  5. Step 5: Solve for x
    x = 6,521,118,305.83/101,842.68
  6. Step 6: Final answer
    x = 64,031.29

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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.