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Finding the Fourth Proportional to 138,019.01, 190,468.13 and 77,586.12

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Solution

The fourth proportional to 138,019.01, 190,468.13 and 77,586.12 is: 107,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,019.01 : 190,468.13 = 77,586.12 : x
  2. Step 2: Convert to fraction form
    138,019.01/190,468.13 = 77,586.12/x
  3. Step 3: Cross multiply
    138,019.01x = 190,468.13 × 77,586.12
  4. Step 4: Simplify right side
    138,019.01x = 14,777,682,802.43
  5. Step 5: Solve for x
    x = 14,777,682,802.43/138,019.01
  6. Step 6: Final answer
    x = 107,069.91

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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.