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Finding the Fourth Proportional to 85,649.32, 128,283.86 and 65,781.64

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Solution

The fourth proportional to 85,649.32, 128,283.86 and 65,781.64 is: 98,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,649.32 : 128,283.86 = 65,781.64 : x
  2. Step 2: Convert to fraction form
    85,649.32/128,283.86 = 65,781.64/x
  3. Step 3: Cross multiply
    85,649.32x = 128,283.86 × 65,781.64
  4. Step 4: Simplify right side
    85,649.32x = 8,438,722,696.33
  5. Step 5: Solve for x
    x = 8,438,722,696.33/85,649.32
  6. Step 6: Final answer
    x = 98,526.44

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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.