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Finding the Fourth Proportional to 161,878.31, 242,669.53 and 56,639.87

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Solution

The fourth proportional to 161,878.31, 242,669.53 and 56,639.87 is: 84,908.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,878.31 : 242,669.53 = 56,639.87 : x
  2. Step 2: Convert to fraction form
    161,878.31/242,669.53 = 56,639.87/x
  3. Step 3: Cross multiply
    161,878.31x = 242,669.53 × 56,639.87
  4. Step 4: Simplify right side
    161,878.31x = 13,744,769,135.61
  5. Step 5: Solve for x
    x = 13,744,769,135.61/161,878.31
  6. Step 6: Final answer
    x = 84,908.04

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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.