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Finding the Fourth Proportional to 138,597.63, 191,264.69 and 78,168.14

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Solution

The fourth proportional to 138,597.63, 191,264.69 and 78,168.14 is: 107,872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,597.63 : 191,264.69 = 78,168.14 : x
  2. Step 2: Convert to fraction form
    138,597.63/191,264.69 = 78,168.14/x
  3. Step 3: Cross multiply
    138,597.63x = 191,264.69 × 78,168.14
  4. Step 4: Simplify right side
    138,597.63x = 14,950,805,021.32
  5. Step 5: Solve for x
    x = 14,950,805,021.32/138,597.63
  6. Step 6: Final answer
    x = 107,872.01

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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.