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Finding the Fourth Proportional to 230,019.48, 317,460.77 and 138,144.96

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Solution

The fourth proportional to 230,019.48, 317,460.77 and 138,144.96 is: 190,660.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,019.48 : 317,460.77 = 138,144.96 : x
  2. Step 2: Convert to fraction form
    230,019.48/317,460.77 = 138,144.96/x
  3. Step 3: Cross multiply
    230,019.48x = 317,460.77 × 138,144.96
  4. Step 4: Simplify right side
    230,019.48x = 43,855,605,373.22
  5. Step 5: Solve for x
    x = 43,855,605,373.22/230,019.48
  6. Step 6: Final answer
    x = 190,660.40

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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.