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Finding the Fourth Proportional to 85,699.80, 128,598.32 and 33,113

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Solution

The fourth proportional to 85,699.80, 128,598.32 and 33,113 is: 49,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,699.80 : 128,598.32 = 33,113 : x
  2. Step 2: Convert to fraction form
    85,699.80/128,598.32 = 33,113/x
  3. Step 3: Cross multiply
    85,699.80x = 128,598.32 × 33,113
  4. Step 4: Simplify right side
    85,699.80x = 4,258,276,170.16
  5. Step 5: Solve for x
    x = 4,258,276,170.16/85,699.80
  6. Step 6: Final answer
    x = 49,688.29

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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.