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Finding the Fourth Proportional to 134,898, 186,159.24 and 75,282

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Solution

The fourth proportional to 134,898, 186,159.24 and 75,282 is: 103,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,898 : 186,159.24 = 75,282 : x
  2. Step 2: Convert to fraction form
    134,898/186,159.24 = 75,282/x
  3. Step 3: Cross multiply
    134,898x = 186,159.24 × 75,282
  4. Step 4: Simplify right side
    134,898x = 14,014,439,905.68
  5. Step 5: Solve for x
    x = 14,014,439,905.68/134,898
  6. Step 6: Final answer
    x = 103,889.16

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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.