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Finding the Fourth Proportional to 251,772.12, 347,445.54 and 138,594

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Solution

The fourth proportional to 251,772.12, 347,445.54 and 138,594 is: 191,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,772.12 : 347,445.54 = 138,594 : x
  2. Step 2: Convert to fraction form
    251,772.12/347,445.54 = 138,594/x
  3. Step 3: Cross multiply
    251,772.12x = 347,445.54 × 138,594
  4. Step 4: Simplify right side
    251,772.12x = 48,153,867,170.76
  5. Step 5: Solve for x
    x = 48,153,867,170.76/251,772.12
  6. Step 6: Final answer
    x = 191,259.73

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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.