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Finding the Fourth Proportional to 135,411.60, 186,865.72 and 74,980.95

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Solution

The fourth proportional to 135,411.60, 186,865.72 and 74,980.95 is: 103,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,411.60 : 186,865.72 = 74,980.95 : x
  2. Step 2: Convert to fraction form
    135,411.60/186,865.72 = 74,980.95/x
  3. Step 3: Cross multiply
    135,411.60x = 186,865.72 × 74,980.95
  4. Step 4: Simplify right side
    135,411.60x = 14,011,369,208.03
  5. Step 5: Solve for x
    x = 14,011,369,208.03/135,411.60
  6. Step 6: Final answer
    x = 103,472.44

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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.