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Finding the Fourth Proportional to 201,281.60, 302,095.20 and 89,134.40

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Solution

The fourth proportional to 201,281.60, 302,095.20 and 89,134.40 is: 133,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,281.60 : 302,095.20 = 89,134.40 : x
  2. Step 2: Convert to fraction form
    201,281.60/302,095.20 = 89,134.40/x
  3. Step 3: Cross multiply
    201,281.60x = 302,095.20 × 89,134.40
  4. Step 4: Simplify right side
    201,281.60x = 26,927,074,394.88
  5. Step 5: Solve for x
    x = 26,927,074,394.88/201,281.60
  6. Step 6: Final answer
    x = 133,778.12

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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.