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Finding the Fourth Proportional to 145,276.80, 217,837.20 and 51,770.40

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Solution

The fourth proportional to 145,276.80, 217,837.20 and 51,770.40 is: 77,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,276.80 : 217,837.20 = 51,770.40 : x
  2. Step 2: Convert to fraction form
    145,276.80/217,837.20 = 51,770.40/x
  3. Step 3: Cross multiply
    145,276.80x = 217,837.20 × 51,770.40
  4. Step 4: Simplify right side
    145,276.80x = 11,277,518,978.88
  5. Step 5: Solve for x
    x = 11,277,518,978.88/145,276.80
  6. Step 6: Final answer
    x = 77,627.80

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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.