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Finding the Fourth Proportional to 80,953.70, 121,430.55 and 51,429.20

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Solution

The fourth proportional to 80,953.70, 121,430.55 and 51,429.20 is: 77,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,953.70 : 121,430.55 = 51,429.20 : x
  2. Step 2: Convert to fraction form
    80,953.70/121,430.55 = 51,429.20/x
  3. Step 3: Cross multiply
    80,953.70x = 121,430.55 × 51,429.20
  4. Step 4: Simplify right side
    80,953.70x = 6,245,076,042.06
  5. Step 5: Solve for x
    x = 6,245,076,042.06/80,953.70
  6. Step 6: Final answer
    x = 77,143.80

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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.