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Finding the Fourth Proportional to 85,883.64, 128,765.10 and 37,829.45

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Solution

The fourth proportional to 85,883.64, 128,765.10 and 37,829.45 is: 56,717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,883.64 : 128,765.10 = 37,829.45 : x
  2. Step 2: Convert to fraction form
    85,883.64/128,765.10 = 37,829.45/x
  3. Step 3: Cross multiply
    85,883.64x = 128,765.10 × 37,829.45
  4. Step 4: Simplify right side
    85,883.64x = 4,871,112,410.23
  5. Step 5: Solve for x
    x = 4,871,112,410.23/85,883.64
  6. Step 6: Final answer
    x = 56,717.58

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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.