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Finding the Fourth Proportional to 24,123.96, 36,156.78 and 12,430.80

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Solution

The fourth proportional to 24,123.96, 36,156.78 and 12,430.80 is: 18,631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,123.96 : 36,156.78 = 12,430.80 : x
  2. Step 2: Convert to fraction form
    24,123.96/36,156.78 = 12,430.80/x
  3. Step 3: Cross multiply
    24,123.96x = 36,156.78 × 12,430.80
  4. Step 4: Simplify right side
    24,123.96x = 449,457,700.82
  5. Step 5: Solve for x
    x = 449,457,700.82/24,123.96
  6. Step 6: Final answer
    x = 18,631.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.