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Finding the Fourth Proportional to 105,449.19, 157,975.08 and 52,078.70

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Solution

The fourth proportional to 105,449.19, 157,975.08 and 52,078.70 is: 78,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,449.19 : 157,975.08 = 52,078.70 : x
  2. Step 2: Convert to fraction form
    105,449.19/157,975.08 = 52,078.70/x
  3. Step 3: Cross multiply
    105,449.19x = 157,975.08 × 52,078.70
  4. Step 4: Simplify right side
    105,449.19x = 8,227,136,008.92
  5. Step 5: Solve for x
    x = 8,227,136,008.92/105,449.19
  6. Step 6: Final answer
    x = 78,019.91

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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.