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Finding the Fourth Proportional to 251,825.95, 347,509.29 and 138,641.41

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Solution

The fourth proportional to 251,825.95, 347,509.29 and 138,641.41 is: 191,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,825.95 : 347,509.29 = 138,641.41 : x
  2. Step 2: Convert to fraction form
    251,825.95/347,509.29 = 138,641.41/x
  3. Step 3: Cross multiply
    251,825.95x = 347,509.29 × 138,641.41
  4. Step 4: Simplify right side
    251,825.95x = 48,179,177,084.93
  5. Step 5: Solve for x
    x = 48,179,177,084.93/251,825.95
  6. Step 6: Final answer
    x = 191,319.35

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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.