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Finding the Fourth Proportional to 105,228.59, 157,866.24 and 30,342.90

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Solution

The fourth proportional to 105,228.59, 157,866.24 and 30,342.90 is: 45,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,228.59 : 157,866.24 = 30,342.90 : x
  2. Step 2: Convert to fraction form
    105,228.59/157,866.24 = 30,342.90/x
  3. Step 3: Cross multiply
    105,228.59x = 157,866.24 × 30,342.90
  4. Step 4: Simplify right side
    105,228.59x = 4,790,119,533.70
  5. Step 5: Solve for x
    x = 4,790,119,533.70/105,228.59
  6. Step 6: Final answer
    x = 45,521.09

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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.