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Finding the Fourth Proportional to 138,889.52, 191,653.84 and 77,624.40

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Solution

The fourth proportional to 138,889.52, 191,653.84 and 77,624.40 is: 107,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,889.52 : 191,653.84 = 77,624.40 : x
  2. Step 2: Convert to fraction form
    138,889.52/191,653.84 = 77,624.40/x
  3. Step 3: Cross multiply
    138,889.52x = 191,653.84 × 77,624.40
  4. Step 4: Simplify right side
    138,889.52x = 14,877,014,337.70
  5. Step 5: Solve for x
    x = 14,877,014,337.70/138,889.52
  6. Step 6: Final answer
    x = 107,114.02

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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.