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Finding the Fourth Proportional to 229,897.40, 344,640.90 and 89,623.40

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Solution

The fourth proportional to 229,897.40, 344,640.90 and 89,623.40 is: 134,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,897.40 : 344,640.90 = 89,623.40 : x
  2. Step 2: Convert to fraction form
    229,897.40/344,640.90 = 89,623.40/x
  3. Step 3: Cross multiply
    229,897.40x = 344,640.90 × 89,623.40
  4. Step 4: Simplify right side
    229,897.40x = 30,887,889,237.06
  5. Step 5: Solve for x
    x = 30,887,889,237.06/229,897.40
  6. Step 6: Final answer
    x = 134,355.10

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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.