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Finding the Fourth Proportional to 96,119.48, 143,978.16 and 77,297.60

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Solution

The fourth proportional to 96,119.48, 143,978.16 and 77,297.60 is: 115,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,119.48 : 143,978.16 = 77,297.60 : x
  2. Step 2: Convert to fraction form
    96,119.48/143,978.16 = 77,297.60/x
  3. Step 3: Cross multiply
    96,119.48x = 143,978.16 × 77,297.60
  4. Step 4: Simplify right side
    96,119.48x = 11,129,166,220.42
  5. Step 5: Solve for x
    x = 11,129,166,220.42/96,119.48
  6. Step 6: Final answer
    x = 115,784.71

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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.