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Finding the Fourth Proportional to 102,016.71, 140,783.16 and 56,698.94

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Solution

The fourth proportional to 102,016.71, 140,783.16 and 56,698.94 is: 78,244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,016.71 : 140,783.16 = 56,698.94 : x
  2. Step 2: Convert to fraction form
    102,016.71/140,783.16 = 56,698.94/x
  3. Step 3: Cross multiply
    102,016.71x = 140,783.16 × 56,698.94
  4. Step 4: Simplify right side
    102,016.71x = 7,982,255,237.93
  5. Step 5: Solve for x
    x = 7,982,255,237.93/102,016.71
  6. Step 6: Final answer
    x = 78,244.59

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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.