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Finding the Fourth Proportional to 149,225.71, 223,697.85 and 74,275

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Solution

The fourth proportional to 149,225.71, 223,697.85 and 74,275 is: 111,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,225.71 : 223,697.85 = 74,275 : x
  2. Step 2: Convert to fraction form
    149,225.71/223,697.85 = 74,275/x
  3. Step 3: Cross multiply
    149,225.71x = 223,697.85 × 74,275
  4. Step 4: Simplify right side
    149,225.71x = 16,615,157,808.75
  5. Step 5: Solve for x
    x = 16,615,157,808.75/149,225.71
  6. Step 6: Final answer
    x = 111,342.46

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1.5x scale

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.