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Finding the Fourth Proportional to 251,877.33, 377,842.49 and 145,258.86

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Solution

The fourth proportional to 251,877.33, 377,842.49 and 145,258.86 is: 217,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,877.33 : 377,842.49 = 145,258.86 : x
  2. Step 2: Convert to fraction form
    251,877.33/377,842.49 = 145,258.86/x
  3. Step 3: Cross multiply
    251,877.33x = 377,842.49 × 145,258.86
  4. Step 4: Simplify right side
    251,877.33x = 54,884,968,630.67
  5. Step 5: Solve for x
    x = 54,884,968,630.67/251,877.33
  6. Step 6: Final answer
    x = 217,903.57

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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.