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Finding the Fourth Proportional to 201,628.10, 302,478.60 and 101,536.40

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Solution

The fourth proportional to 201,628.10, 302,478.60 and 101,536.40 is: 152,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,628.10 : 302,478.60 = 101,536.40 : x
  2. Step 2: Convert to fraction form
    201,628.10/302,478.60 = 101,536.40/x
  3. Step 3: Cross multiply
    201,628.10x = 302,478.60 × 101,536.40
  4. Step 4: Simplify right side
    201,628.10x = 30,712,588,121.04
  5. Step 5: Solve for x
    x = 30,712,588,121.04/201,628.10
  6. Step 6: Final answer
    x = 152,322.96

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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.