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Finding the Fourth Proportional to 85,507.50, 128,261.31 and 23,178

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Solution

The fourth proportional to 85,507.50, 128,261.31 and 23,178 is: 34,767.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,507.50 : 128,261.31 = 23,178 : x
  2. Step 2: Convert to fraction form
    85,507.50/128,261.31 = 23,178/x
  3. Step 3: Cross multiply
    85,507.50x = 128,261.31 × 23,178
  4. Step 4: Simplify right side
    85,507.50x = 2,972,840,643.18
  5. Step 5: Solve for x
    x = 2,972,840,643.18/85,507.50
  6. Step 6: Final answer
    x = 34,767.02

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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.