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Finding the Fourth Proportional to 224,944.31, 310,423.77 and 122,971

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Solution

The fourth proportional to 224,944.31, 310,423.77 and 122,971 is: 169,700.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,944.31 : 310,423.77 = 122,971 : x
  2. Step 2: Convert to fraction form
    224,944.31/310,423.77 = 122,971/x
  3. Step 3: Cross multiply
    224,944.31x = 310,423.77 × 122,971
  4. Step 4: Simplify right side
    224,944.31x = 38,173,121,420.67
  5. Step 5: Solve for x
    x = 38,173,121,420.67/224,944.31
  6. Step 6: Final answer
    x = 169,700.32

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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.