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Finding the Fourth Proportional to 235,984, 325,657.92 and 130,000

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Solution

The fourth proportional to 235,984, 325,657.92 and 130,000 is: 179,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,984 : 325,657.92 = 130,000 : x
  2. Step 2: Convert to fraction form
    235,984/325,657.92 = 130,000/x
  3. Step 3: Cross multiply
    235,984x = 325,657.92 × 130,000
  4. Step 4: Simplify right side
    235,984x = 42,335,529,600
  5. Step 5: Solve for x
    x = 42,335,529,600/235,984
  6. Step 6: Final answer
    x = 179,400

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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.