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Finding the Fourth Proportional to 138,509.88, 191,132.13 and 78,095.37

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Solution

The fourth proportional to 138,509.88, 191,132.13 and 78,095.37 is: 107,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,509.88 : 191,132.13 = 78,095.37 : x
  2. Step 2: Convert to fraction form
    138,509.88/191,132.13 = 78,095.37/x
  3. Step 3: Cross multiply
    138,509.88x = 191,132.13 × 78,095.37
  4. Step 4: Simplify right side
    138,509.88x = 14,926,534,411.24
  5. Step 5: Solve for x
    x = 14,926,534,411.24/138,509.88
  6. Step 6: Final answer
    x = 107,765.12

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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.