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Finding the Fourth Proportional to 105,415.86, 158,175.74 and 49,259.85

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Solution

The fourth proportional to 105,415.86, 158,175.74 and 49,259.85 is: 73,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,415.86 : 158,175.74 = 49,259.85 : x
  2. Step 2: Convert to fraction form
    105,415.86/158,175.74 = 49,259.85/x
  3. Step 3: Cross multiply
    105,415.86x = 158,175.74 × 49,259.85
  4. Step 4: Simplify right side
    105,415.86x = 7,791,712,979.74
  5. Step 5: Solve for x
    x = 7,791,712,979.74/105,415.86
  6. Step 6: Final answer
    x = 73,914.05

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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.