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Finding the Fourth Proportional to 171,888.64, 257,143.76 and 142,364

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Solution

The fourth proportional to 171,888.64, 257,143.76 and 142,364 is: 212,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,888.64 : 257,143.76 = 142,364 : x
  2. Step 2: Convert to fraction form
    171,888.64/257,143.76 = 142,364/x
  3. Step 3: Cross multiply
    171,888.64x = 257,143.76 × 142,364
  4. Step 4: Simplify right side
    171,888.64x = 36,608,014,248.64
  5. Step 5: Solve for x
    x = 36,608,014,248.64/171,888.64
  6. Step 6: Final answer
    x = 212,975.18

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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.