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Finding the Fourth Proportional to 171,989.80, 257,547.30 and 164,116.60

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Solution

The fourth proportional to 171,989.80, 257,547.30 and 164,116.60 is: 245,757.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,989.80 : 257,547.30 = 164,116.60 : x
  2. Step 2: Convert to fraction form
    171,989.80/257,547.30 = 164,116.60/x
  3. Step 3: Cross multiply
    171,989.80x = 257,547.30 × 164,116.60
  4. Step 4: Simplify right side
    171,989.80x = 42,267,787,215.18
  5. Step 5: Solve for x
    x = 42,267,787,215.18/171,989.80
  6. Step 6: Final answer
    x = 245,757.52

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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.