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Finding the Fourth Proportional to 161,586, 242,379 and 56,376.72

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Solution

The fourth proportional to 161,586, 242,379 and 56,376.72 is: 84,565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,586 : 242,379 = 56,376.72 : x
  2. Step 2: Convert to fraction form
    161,586/242,379 = 56,376.72/x
  3. Step 3: Cross multiply
    161,586x = 242,379 × 56,376.72
  4. Step 4: Simplify right side
    161,586x = 13,664,533,016.88
  5. Step 5: Solve for x
    x = 13,664,533,016.88/161,586
  6. Step 6: Final answer
    x = 84,565.08

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Why These Related Problems?

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