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Finding the Fourth Proportional to 252,066.71, 378,137.65 and 89,948.14

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Solution

The fourth proportional to 252,066.71, 378,137.65 and 89,948.14 is: 134,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,066.71 : 378,137.65 = 89,948.14 : x
  2. Step 2: Convert to fraction form
    252,066.71/378,137.65 = 89,948.14/x
  3. Step 3: Cross multiply
    252,066.71x = 378,137.65 × 89,948.14
  4. Step 4: Simplify right side
    252,066.71x = 34,012,778,281.47
  5. Step 5: Solve for x
    x = 34,012,778,281.47/252,066.71
  6. Step 6: Final answer
    x = 134,935.62

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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.