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Finding the Fourth Proportional to 76,657.78, 105,787.70 and 43,123.78

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Solution

The fourth proportional to 76,657.78, 105,787.70 and 43,123.78 is: 59,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,657.78 : 105,787.70 = 43,123.78 : x
  2. Step 2: Convert to fraction form
    76,657.78/105,787.70 = 43,123.78/x
  3. Step 3: Cross multiply
    76,657.78x = 105,787.70 × 43,123.78
  4. Step 4: Simplify right side
    76,657.78x = 4,561,965,501.51
  5. Step 5: Solve for x
    x = 4,561,965,501.51/76,657.78
  6. Step 6: Final answer
    x = 59,510.80

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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.