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Finding the Fourth Proportional to 107,706, 148,637.70 and 67,406.88

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Solution

The fourth proportional to 107,706, 148,637.70 and 67,406.88 is: 93,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,706 : 148,637.70 = 67,406.88 : x
  2. Step 2: Convert to fraction form
    107,706/148,637.70 = 67,406.88/x
  3. Step 3: Cross multiply
    107,706x = 148,637.70 × 67,406.88
  4. Step 4: Simplify right side
    107,706x = 10,019,203,607.38
  5. Step 5: Solve for x
    x = 10,019,203,607.38/107,706
  6. Step 6: Final answer
    x = 93,023.63

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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.