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Finding the Fourth Proportional to 81,602.88, 112,725.50 and 77,612.54

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Solution

The fourth proportional to 81,602.88, 112,725.50 and 77,612.54 is: 107,213.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,602.88 : 112,725.50 = 77,612.54 : x
  2. Step 2: Convert to fraction form
    81,602.88/112,725.50 = 77,612.54/x
  3. Step 3: Cross multiply
    81,602.88x = 112,725.50 × 77,612.54
  4. Step 4: Simplify right side
    81,602.88x = 8,748,911,961.41
  5. Step 5: Solve for x
    x = 8,748,911,961.41/81,602.88
  6. Step 6: Final answer
    x = 107,213.28

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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.