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Finding the Fourth Proportional to 138,663.78, 191,345.13 and 78,249.12

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Solution

The fourth proportional to 138,663.78, 191,345.13 and 78,249.12 is: 107,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,663.78 : 191,345.13 = 78,249.12 : x
  2. Step 2: Convert to fraction form
    138,663.78/191,345.13 = 78,249.12/x
  3. Step 3: Cross multiply
    138,663.78x = 191,345.13 × 78,249.12
  4. Step 4: Simplify right side
    138,663.78x = 14,972,588,038.79
  5. Step 5: Solve for x
    x = 14,972,588,038.79/138,663.78
  6. Step 6: Final answer
    x = 107,977.64

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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.