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Finding the Fourth Proportional to 138,705.66, 191,410.52 and 78,274.70

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Solution

The fourth proportional to 138,705.66, 191,410.52 and 78,274.70 is: 108,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,705.66 : 191,410.52 = 78,274.70 : x
  2. Step 2: Convert to fraction form
    138,705.66/191,410.52 = 78,274.70/x
  3. Step 3: Cross multiply
    138,705.66x = 191,410.52 × 78,274.70
  4. Step 4: Simplify right side
    138,705.66x = 14,982,599,681.42
  5. Step 5: Solve for x
    x = 14,982,599,681.42/138,705.66
  6. Step 6: Final answer
    x = 108,017.22

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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.