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Finding the Fourth Proportional to 289,987.61, 400,172.45 and 160,931.73

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Solution

The fourth proportional to 289,987.61, 400,172.45 and 160,931.73 is: 222,079.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,987.61 : 400,172.45 = 160,931.73 : x
  2. Step 2: Convert to fraction form
    289,987.61/400,172.45 = 160,931.73/x
  3. Step 3: Cross multiply
    289,987.61x = 400,172.45 × 160,931.73
  4. Step 4: Simplify right side
    289,987.61x = 64,400,443,872.18
  5. Step 5: Solve for x
    x = 64,400,443,872.18/289,987.61
  6. Step 6: Final answer
    x = 222,079.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.