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Finding the Fourth Proportional to 135,312.81, 186,727.04 and 74,886

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Solution

The fourth proportional to 135,312.81, 186,727.04 and 74,886 is: 103,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,312.81 : 186,727.04 = 74,886 : x
  2. Step 2: Convert to fraction form
    135,312.81/186,727.04 = 74,886/x
  3. Step 3: Cross multiply
    135,312.81x = 186,727.04 × 74,886
  4. Step 4: Simplify right side
    135,312.81x = 13,983,241,117.44
  5. Step 5: Solve for x
    x = 13,983,241,117.44/135,312.81
  6. Step 6: Final answer
    x = 103,340.11

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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.