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Finding the Fourth Proportional to 225,957.42, 311,830.98 and 135,328.14

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Solution

The fourth proportional to 225,957.42, 311,830.98 and 135,328.14 is: 186,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,957.42 : 311,830.98 = 135,328.14 : x
  2. Step 2: Convert to fraction form
    225,957.42/311,830.98 = 135,328.14/x
  3. Step 3: Cross multiply
    225,957.42x = 311,830.98 × 135,328.14
  4. Step 4: Simplify right side
    225,957.42x = 42,199,506,517.78
  5. Step 5: Solve for x
    x = 42,199,506,517.78/225,957.42
  6. Step 6: Final answer
    x = 186,758.67

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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.