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Finding the Fourth Proportional to 160,083.87, 220,916.43 and 87,488.25

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Solution

The fourth proportional to 160,083.87, 220,916.43 and 87,488.25 is: 120,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,083.87 : 220,916.43 = 87,488.25 : x
  2. Step 2: Convert to fraction form
    160,083.87/220,916.43 = 87,488.25/x
  3. Step 3: Cross multiply
    160,083.87x = 220,916.43 × 87,488.25
  4. Step 4: Simplify right side
    160,083.87x = 19,327,590,314.92
  5. Step 5: Solve for x
    x = 19,327,590,314.92/160,083.87
  6. Step 6: Final answer
    x = 120,734.16

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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.