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Finding the Fourth Proportional to 100,710.12, 138,977.19 and 55,388.11

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Solution

The fourth proportional to 100,710.12, 138,977.19 and 55,388.11 is: 76,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,710.12 : 138,977.19 = 55,388.11 : x
  2. Step 2: Convert to fraction form
    100,710.12/138,977.19 = 55,388.11/x
  3. Step 3: Cross multiply
    100,710.12x = 138,977.19 × 55,388.11
  4. Step 4: Simplify right side
    100,710.12x = 7,697,683,703.34
  5. Step 5: Solve for x
    x = 7,697,683,703.34/100,710.12
  6. Step 6: Final answer
    x = 76,434.07

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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.