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Finding the Fourth Proportional to 100,686.50, 138,950.38 and 55,362.14

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Solution

The fourth proportional to 100,686.50, 138,950.38 and 55,362.14 is: 76,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,686.50 : 138,950.38 = 55,362.14 : x
  2. Step 2: Convert to fraction form
    100,686.50/138,950.38 = 55,362.14/x
  3. Step 3: Cross multiply
    100,686.50x = 138,950.38 × 55,362.14
  4. Step 4: Simplify right side
    100,686.50x = 7,692,590,390.61
  5. Step 5: Solve for x
    x = 7,692,590,390.61/100,686.50
  6. Step 6: Final answer
    x = 76,401.41

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1.5x scale

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.