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Finding the Fourth Proportional to 171,666.46, 256,799.31 and 138,424.06

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Solution

The fourth proportional to 171,666.46, 256,799.31 and 138,424.06 is: 207,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,666.46 : 256,799.31 = 138,424.06 : x
  2. Step 2: Convert to fraction form
    171,666.46/256,799.31 = 138,424.06/x
  3. Step 3: Cross multiply
    171,666.46x = 256,799.31 × 138,424.06
  4. Step 4: Simplify right side
    171,666.46x = 35,547,203,095.40
  5. Step 5: Solve for x
    x = 35,547,203,095.40/171,666.46
  6. Step 6: Final answer
    x = 207,071.34

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1.5x scale

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.