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Finding the Fourth Proportional to 135,410.71, 186,864.49 and 74,980.06

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Solution

The fourth proportional to 135,410.71, 186,864.49 and 74,980.06 is: 103,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,410.71 : 186,864.49 = 74,980.06 : x
  2. Step 2: Convert to fraction form
    135,410.71/186,864.49 = 74,980.06/x
  3. Step 3: Cross multiply
    135,410.71x = 186,864.49 × 74,980.06
  4. Step 4: Simplify right side
    135,410.71x = 14,011,109,737.75
  5. Step 5: Solve for x
    x = 14,011,109,737.75/135,410.71
  6. Step 6: Final answer
    x = 103,471.21

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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.