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Finding the Fourth Proportional to 224,425, 309,710.82 and 123,820.84

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Solution

The fourth proportional to 224,425, 309,710.82 and 123,820.84 is: 170,875.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,425 : 309,710.82 = 123,820.84 : x
  2. Step 2: Convert to fraction form
    224,425/309,710.82 = 123,820.84/x
  3. Step 3: Cross multiply
    224,425x = 309,710.82 × 123,820.84
  4. Step 4: Simplify right side
    224,425x = 38,348,653,889.49
  5. Step 5: Solve for x
    x = 38,348,653,889.49/224,425
  6. Step 6: Final answer
    x = 170,875.14

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1.5x scale

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.