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Finding the Fourth Proportional to 224,214, 309,415.32 and 123,618.48

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Solution

The fourth proportional to 224,214, 309,415.32 and 123,618.48 is: 170,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,214 : 309,415.32 = 123,618.48 : x
  2. Step 2: Convert to fraction form
    224,214/309,415.32 = 123,618.48/x
  3. Step 3: Cross multiply
    224,214x = 309,415.32 × 123,618.48
  4. Step 4: Simplify right side
    224,214x = 38,249,451,547.11
  5. Step 5: Solve for x
    x = 38,249,451,547.11/224,214
  6. Step 6: Final answer
    x = 170,593.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.