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Finding the Fourth Proportional to 69,281.16, 103,911.30 and 19,356

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Solution

The fourth proportional to 69,281.16, 103,911.30 and 19,356 is: 29,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,281.16 : 103,911.30 = 19,356 : x
  2. Step 2: Convert to fraction form
    69,281.16/103,911.30 = 19,356/x
  3. Step 3: Cross multiply
    69,281.16x = 103,911.30 × 19,356
  4. Step 4: Simplify right side
    69,281.16x = 2,011,307,122.80
  5. Step 5: Solve for x
    x = 2,011,307,122.80/69,281.16
  6. Step 6: Final answer
    x = 29,031.08

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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.