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Finding the Fourth Proportional to 101,970.15, 140,728.32 and 61,693.83

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Solution

The fourth proportional to 101,970.15, 140,728.32 and 61,693.83 is: 85,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.15 : 140,728.32 = 61,693.83 : x
  2. Step 2: Convert to fraction form
    101,970.15/140,728.32 = 61,693.83/x
  3. Step 3: Cross multiply
    101,970.15x = 140,728.32 × 61,693.83
  4. Step 4: Simplify right side
    101,970.15x = 8,682,069,050.27
  5. Step 5: Solve for x
    x = 8,682,069,050.27/101,970.15
  6. Step 6: Final answer
    x = 85,143.24

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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.