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Finding the Fourth Proportional to 202,291.60, 303,631.80 and 102,564.40

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Solution

The fourth proportional to 202,291.60, 303,631.80 and 102,564.40 is: 153,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,291.60 : 303,631.80 = 102,564.40 : x
  2. Step 2: Convert to fraction form
    202,291.60/303,631.80 = 102,564.40/x
  3. Step 3: Cross multiply
    202,291.60x = 303,631.80 × 102,564.40
  4. Step 4: Simplify right side
    202,291.60x = 31,141,813,387.92
  5. Step 5: Solve for x
    x = 31,141,813,387.92/202,291.60
  6. Step 6: Final answer
    x = 153,945.16

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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.