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Finding the Fourth Proportional to 163,958.64, 245,972.52 and 53,142

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Solution

The fourth proportional to 163,958.64, 245,972.52 and 53,142 is: 79,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,958.64 : 245,972.52 = 53,142 : x
  2. Step 2: Convert to fraction form
    163,958.64/245,972.52 = 53,142/x
  3. Step 3: Cross multiply
    163,958.64x = 245,972.52 × 53,142
  4. Step 4: Simplify right side
    163,958.64x = 13,071,471,657.84
  5. Step 5: Solve for x
    x = 13,071,471,657.84/163,958.64
  6. Step 6: Final answer
    x = 79,724.20

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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.