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Finding the Fourth Proportional to 100,613.95, 138,860.37 and 64,907.83

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Solution

The fourth proportional to 100,613.95, 138,860.37 and 64,907.83 is: 89,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,613.95 : 138,860.37 = 64,907.83 : x
  2. Step 2: Convert to fraction form
    100,613.95/138,860.37 = 64,907.83/x
  3. Step 3: Cross multiply
    100,613.95x = 138,860.37 × 64,907.83
  4. Step 4: Simplify right side
    100,613.95x = 9,013,124,942.55
  5. Step 5: Solve for x
    x = 9,013,124,942.55/100,613.95
  6. Step 6: Final answer
    x = 89,581.27

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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.