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Finding the Fourth Proportional to 224,742.56, 310,138.80 and 124,138.40

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Solution

The fourth proportional to 224,742.56, 310,138.80 and 124,138.40 is: 171,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,742.56 : 310,138.80 = 124,138.40 : x
  2. Step 2: Convert to fraction form
    224,742.56/310,138.80 = 124,138.40/x
  3. Step 3: Cross multiply
    224,742.56x = 310,138.80 × 124,138.40
  4. Step 4: Simplify right side
    224,742.56x = 38,500,134,409.92
  5. Step 5: Solve for x
    x = 38,500,134,409.92/224,742.56
  6. Step 6: Final answer
    x = 171,307.71

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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.