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Finding the Fourth Proportional to 105,222.20, 157,698.90 and 42,822.20

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Solution

The fourth proportional to 105,222.20, 157,698.90 and 42,822.20 is: 64,178.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,222.20 : 157,698.90 = 42,822.20 : x
  2. Step 2: Convert to fraction form
    105,222.20/157,698.90 = 42,822.20/x
  3. Step 3: Cross multiply
    105,222.20x = 157,698.90 × 42,822.20
  4. Step 4: Simplify right side
    105,222.20x = 6,753,013,835.58
  5. Step 5: Solve for x
    x = 6,753,013,835.58/105,222.20
  6. Step 6: Final answer
    x = 64,178.60

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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.