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Finding the Fourth Proportional to 105,580.98, 158,260.23 and 38,978.46

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Solution

The fourth proportional to 105,580.98, 158,260.23 and 38,978.46 is: 58,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,580.98 : 158,260.23 = 38,978.46 : x
  2. Step 2: Convert to fraction form
    105,580.98/158,260.23 = 38,978.46/x
  3. Step 3: Cross multiply
    105,580.98x = 158,260.23 × 38,978.46
  4. Step 4: Simplify right side
    105,580.98x = 6,168,740,044.65
  5. Step 5: Solve for x
    x = 6,168,740,044.65/105,580.98
  6. Step 6: Final answer
    x = 58,426.62

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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.