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Finding the Fourth Proportional to 261,505.12, 392,423.44 and 111,746.44

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Solution

The fourth proportional to 261,505.12, 392,423.44 and 111,746.44 is: 167,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,505.12 : 392,423.44 = 111,746.44 : x
  2. Step 2: Convert to fraction form
    261,505.12/392,423.44 = 111,746.44/x
  3. Step 3: Cross multiply
    261,505.12x = 392,423.44 × 111,746.44
  4. Step 4: Simplify right side
    261,505.12x = 43,851,922,392.55
  5. Step 5: Solve for x
    x = 43,851,922,392.55/261,505.12
  6. Step 6: Final answer
    x = 167,690.49

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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.