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Finding the Fourth Proportional to 201,646.80, 302,470.20 and 139,438.80

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Solution

The fourth proportional to 201,646.80, 302,470.20 and 139,438.80 is: 209,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,646.80 : 302,470.20 = 139,438.80 : x
  2. Step 2: Convert to fraction form
    201,646.80/302,470.20 = 139,438.80/x
  3. Step 3: Cross multiply
    201,646.80x = 302,470.20 × 139,438.80
  4. Step 4: Simplify right side
    201,646.80x = 42,176,081,723.76
  5. Step 5: Solve for x
    x = 42,176,081,723.76/201,646.80
  6. Step 6: Final answer
    x = 209,158.20

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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.