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Finding the Fourth Proportional to 253,189.12, 349,443.95 and 145,821.31

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Solution

The fourth proportional to 253,189.12, 349,443.95 and 145,821.31 is: 201,258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,189.12 : 349,443.95 = 145,821.31 : x
  2. Step 2: Convert to fraction form
    253,189.12/349,443.95 = 145,821.31/x
  3. Step 3: Cross multiply
    253,189.12x = 349,443.95 × 145,821.31
  4. Step 4: Simplify right side
    253,189.12x = 50,956,374,268.27
  5. Step 5: Solve for x
    x = 50,956,374,268.27/253,189.12
  6. Step 6: Final answer
    x = 201,258.15

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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.