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Finding the Fourth Proportional to 100,504.86, 138,668.40 and 64,715.58

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Solution

The fourth proportional to 100,504.86, 138,668.40 and 64,715.58 is: 89,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,504.86 : 138,668.40 = 64,715.58 : x
  2. Step 2: Convert to fraction form
    100,504.86/138,668.40 = 64,715.58/x
  3. Step 3: Cross multiply
    100,504.86x = 138,668.40 × 64,715.58
  4. Step 4: Simplify right side
    100,504.86x = 8,974,005,933.67
  5. Step 5: Solve for x
    x = 8,974,005,933.67/100,504.86
  6. Step 6: Final answer
    x = 89,289.27

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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.