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Finding the Fourth Proportional to 162,991.29, 224,916.66 and 90,398.01

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Solution

The fourth proportional to 162,991.29, 224,916.66 and 90,398.01 is: 124,742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,991.29 : 224,916.66 = 90,398.01 : x
  2. Step 2: Convert to fraction form
    162,991.29/224,916.66 = 90,398.01/x
  3. Step 3: Cross multiply
    162,991.29x = 224,916.66 × 90,398.01
  4. Step 4: Simplify right side
    162,991.29x = 20,332,018,479.85
  5. Step 5: Solve for x
    x = 20,332,018,479.85/162,991.29
  6. Step 6: Final answer
    x = 124,742.98

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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.