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Finding the Fourth Proportional to 160,868, 221,998.02 and 93,812.96

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Solution

The fourth proportional to 160,868, 221,998.02 and 93,812.96 is: 129,461.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,868 : 221,998.02 = 93,812.96 : x
  2. Step 2: Convert to fraction form
    160,868/221,998.02 = 93,812.96/x
  3. Step 3: Cross multiply
    160,868x = 221,998.02 × 93,812.96
  4. Step 4: Simplify right side
    160,868x = 20,826,291,370.34
  5. Step 5: Solve for x
    x = 20,826,291,370.34/160,868
  6. Step 6: Final answer
    x = 129,461.99

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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.