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Finding the Fourth Proportional to 135,411.42, 186,865.44 and 74,980.76

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Solution

The fourth proportional to 135,411.42, 186,865.44 and 74,980.76 is: 103,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,411.42 : 186,865.44 = 74,980.76 : x
  2. Step 2: Convert to fraction form
    135,411.42/186,865.44 = 74,980.76/x
  3. Step 3: Cross multiply
    135,411.42x = 186,865.44 × 74,980.76
  4. Step 4: Simplify right side
    135,411.42x = 14,011,312,708.93
  5. Step 5: Solve for x
    x = 14,011,312,708.93/135,411.42
  6. Step 6: Final answer
    x = 103,472.16

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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.