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Finding the Fourth Proportional to 138,408.56, 191,004.44 and 77,980.13

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Solution

The fourth proportional to 138,408.56, 191,004.44 and 77,980.13 is: 107,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,408.56 : 191,004.44 = 77,980.13 : x
  2. Step 2: Convert to fraction form
    138,408.56/191,004.44 = 77,980.13/x
  3. Step 3: Cross multiply
    138,408.56x = 191,004.44 × 77,980.13
  4. Step 4: Simplify right side
    138,408.56x = 14,894,551,061.78
  5. Step 5: Solve for x
    x = 14,894,551,061.78/138,408.56
  6. Step 6: Final answer
    x = 107,612.93

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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.