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Finding the Fourth Proportional to 201,862.20, 302,793.30 and 148,985.40

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Solution

The fourth proportional to 201,862.20, 302,793.30 and 148,985.40 is: 223,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,862.20 : 302,793.30 = 148,985.40 : x
  2. Step 2: Convert to fraction form
    201,862.20/302,793.30 = 148,985.40/x
  3. Step 3: Cross multiply
    201,862.20x = 302,793.30 × 148,985.40
  4. Step 4: Simplify right side
    201,862.20x = 45,111,780,917.82
  5. Step 5: Solve for x
    x = 45,111,780,917.82/201,862.20
  6. Step 6: Final answer
    x = 223,478.10

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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.