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Finding the Fourth Proportional to 265,737.30, 398,537.82 and 78,705.06

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Solution

The fourth proportional to 265,737.30, 398,537.82 and 78,705.06 is: 118,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,737.30 : 398,537.82 = 78,705.06 : x
  2. Step 2: Convert to fraction form
    265,737.30/398,537.82 = 78,705.06/x
  3. Step 3: Cross multiply
    265,737.30x = 398,537.82 × 78,705.06
  4. Step 4: Simplify right side
    265,737.30x = 31,366,943,035.37
  5. Step 5: Solve for x
    x = 31,366,943,035.37/265,737.30
  6. Step 6: Final answer
    x = 118,037.41

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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.