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Finding the Fourth Proportional to 224,689.92, 310,056.48 and 124,080

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Solution

The fourth proportional to 224,689.92, 310,056.48 and 124,080 is: 171,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,689.92 : 310,056.48 = 124,080 : x
  2. Step 2: Convert to fraction form
    224,689.92/310,056.48 = 124,080/x
  3. Step 3: Cross multiply
    224,689.92x = 310,056.48 × 124,080
  4. Step 4: Simplify right side
    224,689.92x = 38,471,808,038.40
  5. Step 5: Solve for x
    x = 38,471,808,038.40/224,689.92
  6. Step 6: Final answer
    x = 171,221.78

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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.