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Finding the Fourth Proportional to 138,893.52, 191,659.36 and 77,628.40

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Solution

The fourth proportional to 138,893.52, 191,659.36 and 77,628.40 is: 107,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,893.52 : 191,659.36 = 77,628.40 : x
  2. Step 2: Convert to fraction form
    138,893.52/191,659.36 = 77,628.40/x
  3. Step 3: Cross multiply
    138,893.52x = 191,659.36 × 77,628.40
  4. Step 4: Simplify right side
    138,893.52x = 14,878,209,461.82
  5. Step 5: Solve for x
    x = 14,878,209,461.82/138,893.52
  6. Step 6: Final answer
    x = 107,119.54

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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.