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Finding the Fourth Proportional to 100,513.66, 138,715.94 and 66,462.98

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Solution

The fourth proportional to 100,513.66, 138,715.94 and 66,462.98 is: 91,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,513.66 : 138,715.94 = 66,462.98 : x
  2. Step 2: Convert to fraction form
    100,513.66/138,715.94 = 66,462.98/x
  3. Step 3: Cross multiply
    100,513.66x = 138,715.94 × 66,462.98
  4. Step 4: Simplify right side
    100,513.66x = 9,219,474,998.76
  5. Step 5: Solve for x
    x = 9,219,474,998.76/100,513.66
  6. Step 6: Final answer
    x = 91,723.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.