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Finding the Fourth Proportional to 186,592.72, 279,809.12 and 86,742.50

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Solution

The fourth proportional to 186,592.72, 279,809.12 and 86,742.50 is: 130,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,592.72 : 279,809.12 = 86,742.50 : x
  2. Step 2: Convert to fraction form
    186,592.72/279,809.12 = 86,742.50/x
  3. Step 3: Cross multiply
    186,592.72x = 279,809.12 × 86,742.50
  4. Step 4: Simplify right side
    186,592.72x = 24,271,342,591.60
  5. Step 5: Solve for x
    x = 24,271,342,591.60/186,592.72
  6. Step 6: Final answer
    x = 130,076.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.