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Finding the Fourth Proportional to 162,980.99, 224,914.28 and 90,389.06

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Solution

The fourth proportional to 162,980.99, 224,914.28 and 90,389.06 is: 124,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,980.99 : 224,914.28 = 90,389.06 : x
  2. Step 2: Convert to fraction form
    162,980.99/224,914.28 = 90,389.06/x
  3. Step 3: Cross multiply
    162,980.99x = 224,914.28 × 90,389.06
  4. Step 4: Simplify right side
    162,980.99x = 20,329,788,773.26
  5. Step 5: Solve for x
    x = 20,329,788,773.26/162,980.99
  6. Step 6: Final answer
    x = 124,737.18

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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.