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Finding the Fourth Proportional to 169,830.40, 254,680.80 and 51,462.40

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Solution

The fourth proportional to 169,830.40, 254,680.80 and 51,462.40 is: 77,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,830.40 : 254,680.80 = 51,462.40 : x
  2. Step 2: Convert to fraction form
    169,830.40/254,680.80 = 51,462.40/x
  3. Step 3: Cross multiply
    169,830.40x = 254,680.80 × 51,462.40
  4. Step 4: Simplify right side
    169,830.40x = 13,106,485,201.92
  5. Step 5: Solve for x
    x = 13,106,485,201.92/169,830.40
  6. Step 6: Final answer
    x = 77,173.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.