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Finding the Fourth Proportional to 201,973.60, 302,614.80 and 128,015.20

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Solution

The fourth proportional to 201,973.60, 302,614.80 and 128,015.20 is: 191,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,973.60 : 302,614.80 = 128,015.20 : x
  2. Step 2: Convert to fraction form
    201,973.60/302,614.80 = 128,015.20/x
  3. Step 3: Cross multiply
    201,973.60x = 302,614.80 × 128,015.20
  4. Step 4: Simplify right side
    201,973.60x = 38,739,294,144.96
  5. Step 5: Solve for x
    x = 38,739,294,144.96/201,973.60
  6. Step 6: Final answer
    x = 191,803.75

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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.