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Finding the Fourth Proportional to 201,319.60, 301,979.40 and 76,644.40

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Solution

The fourth proportional to 201,319.60, 301,979.40 and 76,644.40 is: 114,966.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,319.60 : 301,979.40 = 76,644.40 : x
  2. Step 2: Convert to fraction form
    201,319.60/301,979.40 = 76,644.40/x
  3. Step 3: Cross multiply
    201,319.60x = 301,979.40 × 76,644.40
  4. Step 4: Simplify right side
    201,319.60x = 23,145,029,925.36
  5. Step 5: Solve for x
    x = 23,145,029,925.36/201,319.60
  6. Step 6: Final answer
    x = 114,966.60

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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.