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Finding the Fourth Proportional to 225,781.70, 311,547.87 and 135,116.51

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Solution

The fourth proportional to 225,781.70, 311,547.87 and 135,116.51 is: 186,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,781.70 : 311,547.87 = 135,116.51 : x
  2. Step 2: Convert to fraction form
    225,781.70/311,547.87 = 135,116.51/x
  3. Step 3: Cross multiply
    225,781.70x = 311,547.87 × 135,116.51
  4. Step 4: Simplify right side
    225,781.70x = 42,095,259,334.59
  5. Step 5: Solve for x
    x = 42,095,259,334.59/225,781.70
  6. Step 6: Final answer
    x = 186,442.30

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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.