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Finding the Fourth Proportional to 231,763.76, 319,838.52 and 151,242.80

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Solution

The fourth proportional to 231,763.76, 319,838.52 and 151,242.80 is: 208,718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,763.76 : 319,838.52 = 151,242.80 : x
  2. Step 2: Convert to fraction form
    231,763.76/319,838.52 = 151,242.80/x
  3. Step 3: Cross multiply
    231,763.76x = 319,838.52 × 151,242.80
  4. Step 4: Simplify right side
    231,763.76x = 48,373,273,312.66
  5. Step 5: Solve for x
    x = 48,373,273,312.66/231,763.76
  6. Step 6: Final answer
    x = 208,718.02

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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.