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Finding the Fourth Proportional to 225,920.96, 311,762.40 and 125,316.80

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Solution

The fourth proportional to 225,920.96, 311,762.40 and 125,316.80 is: 172,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,920.96 : 311,762.40 = 125,316.80 : x
  2. Step 2: Convert to fraction form
    225,920.96/311,762.40 = 125,316.80/x
  3. Step 3: Cross multiply
    225,920.96x = 311,762.40 × 125,316.80
  4. Step 4: Simplify right side
    225,920.96x = 39,069,066,328.32
  5. Step 5: Solve for x
    x = 39,069,066,328.32/225,920.96
  6. Step 6: Final answer
    x = 172,932.46

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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.