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Finding the Fourth Proportional to 81,783.88, 112,947.43 and 56,356.36

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Solution

The fourth proportional to 81,783.88, 112,947.43 and 56,356.36 is: 77,830.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,783.88 : 112,947.43 = 56,356.36 : x
  2. Step 2: Convert to fraction form
    81,783.88/112,947.43 = 56,356.36/x
  3. Step 3: Cross multiply
    81,783.88x = 112,947.43 × 56,356.36
  4. Step 4: Simplify right side
    81,783.88x = 6,365,306,026.15
  5. Step 5: Solve for x
    x = 6,365,306,026.15/81,783.88
  6. Step 6: Final answer
    x = 77,830.81

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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.