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Finding the Fourth Proportional to 173,821.30, 260,731.95 and 138,829.30

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Solution

The fourth proportional to 173,821.30, 260,731.95 and 138,829.30 is: 208,243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,821.30 : 260,731.95 = 138,829.30 : x
  2. Step 2: Convert to fraction form
    173,821.30/260,731.95 = 138,829.30/x
  3. Step 3: Cross multiply
    173,821.30x = 260,731.95 × 138,829.30
  4. Step 4: Simplify right side
    173,821.30x = 36,197,234,106.14
  5. Step 5: Solve for x
    x = 36,197,234,106.14/173,821.30
  6. Step 6: Final answer
    x = 208,243.95

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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.