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Finding the Fourth Proportional to 57,100.81, 85,656.92 and 19,655.93

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Solution

The fourth proportional to 57,100.81, 85,656.92 and 19,655.93 is: 29,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,100.81 : 85,656.92 = 19,655.93 : x
  2. Step 2: Convert to fraction form
    57,100.81/85,656.92 = 19,655.93/x
  3. Step 3: Cross multiply
    57,100.81x = 85,656.92 × 19,655.93
  4. Step 4: Simplify right side
    57,100.81x = 1,683,666,423.54
  5. Step 5: Solve for x
    x = 1,683,666,423.54/57,100.81
  6. Step 6: Final answer
    x = 29,485.86

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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.