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Finding the Fourth Proportional to 85,777.29, 128,812.10 and 55,842.51

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Solution

The fourth proportional to 85,777.29, 128,812.10 and 55,842.51 is: 83,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,777.29 : 128,812.10 = 55,842.51 : x
  2. Step 2: Convert to fraction form
    85,777.29/128,812.10 = 55,842.51/x
  3. Step 3: Cross multiply
    85,777.29x = 128,812.10 × 55,842.51
  4. Step 4: Simplify right side
    85,777.29x = 7,193,190,703.16
  5. Step 5: Solve for x
    x = 7,193,190,703.16/85,777.29
  6. Step 6: Final answer
    x = 83,858.92

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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.