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Finding the Fourth Proportional to 76,487.84, 105,563.76 and 42,956

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Solution

The fourth proportional to 76,487.84, 105,563.76 and 42,956 is: 59,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,487.84 : 105,563.76 = 42,956 : x
  2. Step 2: Convert to fraction form
    76,487.84/105,563.76 = 42,956/x
  3. Step 3: Cross multiply
    76,487.84x = 105,563.76 × 42,956
  4. Step 4: Simplify right side
    76,487.84x = 4,534,596,874.56
  5. Step 5: Solve for x
    x = 4,534,596,874.56/76,487.84
  6. Step 6: Final answer
    x = 59,285.20

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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.