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Finding the Fourth Proportional to 84,516.81, 126,838.98 and 57,798.96

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Solution

The fourth proportional to 84,516.81, 126,838.98 and 57,798.96 is: 86,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,516.81 : 126,838.98 = 57,798.96 : x
  2. Step 2: Convert to fraction form
    84,516.81/126,838.98 = 57,798.96/x
  3. Step 3: Cross multiply
    84,516.81x = 126,838.98 × 57,798.96
  4. Step 4: Simplify right side
    84,516.81x = 7,331,161,131.46
  5. Step 5: Solve for x
    x = 7,331,161,131.46/84,516.81
  6. Step 6: Final answer
    x = 86,742.05

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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.