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Finding the Fourth Proportional to 100,421.67, 138,583.71 and 55,101.90

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Solution

The fourth proportional to 100,421.67, 138,583.71 and 55,101.90 is: 76,041.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,421.67 : 138,583.71 = 55,101.90 : x
  2. Step 2: Convert to fraction form
    100,421.67/138,583.71 = 55,101.90/x
  3. Step 3: Cross multiply
    100,421.67x = 138,583.71 × 55,101.90
  4. Step 4: Simplify right side
    100,421.67x = 7,636,225,730.05
  5. Step 5: Solve for x
    x = 7,636,225,730.05/100,421.67
  6. Step 6: Final answer
    x = 76,041.61

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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.