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Finding the Fourth Proportional to 219,113.64, 328,764.36 and 69,366.12

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Solution

The fourth proportional to 219,113.64, 328,764.36 and 69,366.12 is: 104,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,113.64 : 328,764.36 = 69,366.12 : x
  2. Step 2: Convert to fraction form
    219,113.64/328,764.36 = 69,366.12/x
  3. Step 3: Cross multiply
    219,113.64x = 328,764.36 × 69,366.12
  4. Step 4: Simplify right side
    219,113.64x = 22,805,108,047.48
  5. Step 5: Solve for x
    x = 22,805,108,047.48/219,113.64
  6. Step 6: Final answer
    x = 104,078.91

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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.