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Finding the Fourth Proportional to 265,737.24, 398,537.73 and 78,705

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Solution

The fourth proportional to 265,737.24, 398,537.73 and 78,705 is: 118,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,737.24 : 398,537.73 = 78,705 : x
  2. Step 2: Convert to fraction form
    265,737.24/398,537.73 = 78,705/x
  3. Step 3: Cross multiply
    265,737.24x = 398,537.73 × 78,705
  4. Step 4: Simplify right side
    265,737.24x = 31,366,912,039.65
  5. Step 5: Solve for x
    x = 31,366,912,039.65/265,737.24
  6. Step 6: Final answer
    x = 118,037.32

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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.