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Finding the Fourth Proportional to 102,818.55, 141,866.60 and 59,783.86

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Solution

The fourth proportional to 102,818.55, 141,866.60 and 59,783.86 is: 82,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,818.55 : 141,866.60 = 59,783.86 : x
  2. Step 2: Convert to fraction form
    102,818.55/141,866.60 = 59,783.86/x
  3. Step 3: Cross multiply
    102,818.55x = 141,866.60 × 59,783.86
  4. Step 4: Simplify right side
    102,818.55x = 8,481,332,953.08
  5. Step 5: Solve for x
    x = 8,481,332,953.08/102,818.55
  6. Step 6: Final answer
    x = 82,488.35

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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.