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Finding the Fourth Proportional to 257,019.50, 354,724.15 and 148,102.64

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Solution

The fourth proportional to 257,019.50, 354,724.15 and 148,102.64 is: 204,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,019.50 : 354,724.15 = 148,102.64 : x
  2. Step 2: Convert to fraction form
    257,019.50/354,724.15 = 148,102.64/x
  3. Step 3: Cross multiply
    257,019.50x = 354,724.15 × 148,102.64
  4. Step 4: Simplify right side
    257,019.50x = 52,535,582,346.24
  5. Step 5: Solve for x
    x = 52,535,582,346.24/257,019.50
  6. Step 6: Final answer
    x = 204,403.10

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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.