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Finding the Fourth Proportional to 161,250.32, 241,875.48 and 133,490

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Solution

The fourth proportional to 161,250.32, 241,875.48 and 133,490 is: 200,235

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,250.32 : 241,875.48 = 133,490 : x
  2. Step 2: Convert to fraction form
    161,250.32/241,875.48 = 133,490/x
  3. Step 3: Cross multiply
    161,250.32x = 241,875.48 × 133,490
  4. Step 4: Simplify right side
    161,250.32x = 32,287,957,825.20
  5. Step 5: Solve for x
    x = 32,287,957,825.20/161,250.32
  6. Step 6: Final answer
    x = 200,235

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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.