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Finding the Fourth Proportional to 100,703.15, 138,973.91 and 55,384.64

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Solution

The fourth proportional to 100,703.15, 138,973.91 and 55,384.64 is: 76,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,703.15 : 138,973.91 = 55,384.64 : x
  2. Step 2: Convert to fraction form
    100,703.15/138,973.91 = 55,384.64/x
  3. Step 3: Cross multiply
    100,703.15x = 138,973.91 × 55,384.64
  4. Step 4: Simplify right side
    100,703.15x = 7,697,019,974.74
  5. Step 5: Solve for x
    x = 7,697,019,974.74/100,703.15
  6. Step 6: Final answer
    x = 76,432.76

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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.