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Finding the Fourth Proportional to 201,688.80, 302,533.20 and 127,039.20

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Solution

The fourth proportional to 201,688.80, 302,533.20 and 127,039.20 is: 190,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,688.80 : 302,533.20 = 127,039.20 : x
  2. Step 2: Convert to fraction form
    201,688.80/302,533.20 = 127,039.20/x
  3. Step 3: Cross multiply
    201,688.80x = 302,533.20 × 127,039.20
  4. Step 4: Simplify right side
    201,688.80x = 38,433,575,701.44
  5. Step 5: Solve for x
    x = 38,433,575,701.44/201,688.80
  6. Step 6: Final answer
    x = 190,558.80

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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.