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Finding the Fourth Proportional to 119,407.28, 164,783.42 and 68,419

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Solution

The fourth proportional to 119,407.28, 164,783.42 and 68,419 is: 94,419.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,407.28 : 164,783.42 = 68,419 : x
  2. Step 2: Convert to fraction form
    119,407.28/164,783.42 = 68,419/x
  3. Step 3: Cross multiply
    119,407.28x = 164,783.42 × 68,419
  4. Step 4: Simplify right side
    119,407.28x = 11,274,316,812.98
  5. Step 5: Solve for x
    x = 11,274,316,812.98/119,407.28
  6. Step 6: Final answer
    x = 94,419.01

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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.