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Finding the Fourth Proportional to 69,616, 96,070.08 and 39,813.76

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Solution

The fourth proportional to 69,616, 96,070.08 and 39,813.76 is: 54,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,616 : 96,070.08 = 39,813.76 : x
  2. Step 2: Convert to fraction form
    69,616/96,070.08 = 39,813.76/x
  3. Step 3: Cross multiply
    69,616x = 96,070.08 × 39,813.76
  4. Step 4: Simplify right side
    69,616x = 3,824,911,108.30
  5. Step 5: Solve for x
    x = 3,824,911,108.30/69,616
  6. Step 6: Final answer
    x = 54,942.99

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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.