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Finding the Fourth Proportional to 201,416.64, 301,980 and 94,740.96

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Solution

The fourth proportional to 201,416.64, 301,980 and 94,740.96 is: 142,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,416.64 : 301,980 = 94,740.96 : x
  2. Step 2: Convert to fraction form
    201,416.64/301,980 = 94,740.96/x
  3. Step 3: Cross multiply
    201,416.64x = 301,980 × 94,740.96
  4. Step 4: Simplify right side
    201,416.64x = 28,609,875,100.80
  5. Step 5: Solve for x
    x = 28,609,875,100.80/201,416.64
  6. Step 6: Final answer
    x = 142,043.25

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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.