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Finding the Fourth Proportional to 115,735.95, 159,730.34 and 64,751.54

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Solution

The fourth proportional to 115,735.95, 159,730.34 and 64,751.54 is: 89,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,735.95 : 159,730.34 = 64,751.54 : x
  2. Step 2: Convert to fraction form
    115,735.95/159,730.34 = 64,751.54/x
  3. Step 3: Cross multiply
    115,735.95x = 159,730.34 × 64,751.54
  4. Step 4: Simplify right side
    115,735.95x = 10,342,784,377.31
  5. Step 5: Solve for x
    x = 10,342,784,377.31/115,735.95
  6. Step 6: Final answer
    x = 89,365.36

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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.