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Finding the Fourth Proportional to 100,026, 138,035.88 and 55,314

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Solution

The fourth proportional to 100,026, 138,035.88 and 55,314 is: 76,333.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,026 : 138,035.88 = 55,314 : x
  2. Step 2: Convert to fraction form
    100,026/138,035.88 = 55,314/x
  3. Step 3: Cross multiply
    100,026x = 138,035.88 × 55,314
  4. Step 4: Simplify right side
    100,026x = 7,635,316,666.32
  5. Step 5: Solve for x
    x = 7,635,316,666.32/100,026
  6. Step 6: Final answer
    x = 76,333.32

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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.