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Finding the Fourth Proportional to 259,138.56, 357,700.68 and 151,743.12

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Solution

The fourth proportional to 259,138.56, 357,700.68 and 151,743.12 is: 209,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,138.56 : 357,700.68 = 151,743.12 : x
  2. Step 2: Convert to fraction form
    259,138.56/357,700.68 = 151,743.12/x
  3. Step 3: Cross multiply
    259,138.56x = 357,700.68 × 151,743.12
  4. Step 4: Simplify right side
    259,138.56x = 54,278,617,209.32
  5. Step 5: Solve for x
    x = 54,278,617,209.32/259,138.56
  6. Step 6: Final answer
    x = 209,457.89

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1.5x scale

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.