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Finding the Fourth Proportional to 138,756.72, 191,484.60 and 75,095.22

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Solution

The fourth proportional to 138,756.72, 191,484.60 and 75,095.22 is: 103,631.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,756.72 : 191,484.60 = 75,095.22 : x
  2. Step 2: Convert to fraction form
    138,756.72/191,484.60 = 75,095.22/x
  3. Step 3: Cross multiply
    138,756.72x = 191,484.60 × 75,095.22
  4. Step 4: Simplify right side
    138,756.72x = 14,379,578,163.61
  5. Step 5: Solve for x
    x = 14,379,578,163.61/138,756.72
  6. Step 6: Final answer
    x = 103,631.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.