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Finding the Fourth Proportional to 171,225.76, 256,490.48 and 139,748

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Solution

The fourth proportional to 171,225.76, 256,490.48 and 139,748 is: 209,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,225.76 : 256,490.48 = 139,748 : x
  2. Step 2: Convert to fraction form
    171,225.76/256,490.48 = 139,748/x
  3. Step 3: Cross multiply
    171,225.76x = 256,490.48 × 139,748
  4. Step 4: Simplify right side
    171,225.76x = 35,844,031,599.04
  5. Step 5: Solve for x
    x = 35,844,031,599.04/171,225.76
  6. Step 6: Final answer
    x = 209,337.84

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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.