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Finding the Fourth Proportional to 105,358.69, 158,038.19 and 43,029.19

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Solution

The fourth proportional to 105,358.69, 158,038.19 and 43,029.19 is: 64,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,358.69 : 158,038.19 = 43,029.19 : x
  2. Step 2: Convert to fraction form
    105,358.69/158,038.19 = 43,029.19/x
  3. Step 3: Cross multiply
    105,358.69x = 158,038.19 × 43,029.19
  4. Step 4: Simplify right side
    105,358.69x = 6,800,254,976.90
  5. Step 5: Solve for x
    x = 6,800,254,976.90/105,358.69
  6. Step 6: Final answer
    x = 64,543.85

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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.