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Finding the Fourth Proportional to 219,137.86, 328,756.06 and 69,387.10

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Solution

The fourth proportional to 219,137.86, 328,756.06 and 69,387.10 is: 104,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,137.86 : 328,756.06 = 69,387.10 : x
  2. Step 2: Convert to fraction form
    219,137.86/328,756.06 = 69,387.10/x
  3. Step 3: Cross multiply
    219,137.86x = 328,756.06 × 69,387.10
  4. Step 4: Simplify right side
    219,137.86x = 22,811,429,610.83
  5. Step 5: Solve for x
    x = 22,811,429,610.83/219,137.86
  6. Step 6: Final answer
    x = 104,096.25

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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.