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Finding the Fourth Proportional to 265,735.80, 398,535.57 and 78,703.56

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Solution

The fourth proportional to 265,735.80, 398,535.57 and 78,703.56 is: 118,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,735.80 : 398,535.57 = 78,703.56 : x
  2. Step 2: Convert to fraction form
    265,735.80/398,535.57 = 78,703.56/x
  3. Step 3: Cross multiply
    265,735.80x = 398,535.57 × 78,703.56
  4. Step 4: Simplify right side
    265,735.80x = 31,366,168,145.63
  5. Step 5: Solve for x
    x = 31,366,168,145.63/265,735.80
  6. Step 6: Final answer
    x = 118,035.16

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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.