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Finding the Fourth Proportional to 85,761.50, 128,619 and 35,831.16

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Solution

The fourth proportional to 85,761.50, 128,619 and 35,831.16 is: 53,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,761.50 : 128,619 = 35,831.16 : x
  2. Step 2: Convert to fraction form
    85,761.50/128,619 = 35,831.16/x
  3. Step 3: Cross multiply
    85,761.50x = 128,619 × 35,831.16
  4. Step 4: Simplify right side
    85,761.50x = 4,608,567,968.04
  5. Step 5: Solve for x
    x = 4,608,567,968.04/85,761.50
  6. Step 6: Final answer
    x = 53,737.03

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1.5x scale

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.