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Finding the Fourth Proportional to 102,073.98, 140,866.78 and 56,756.62

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Solution

The fourth proportional to 102,073.98, 140,866.78 and 56,756.62 is: 78,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,073.98 : 140,866.78 = 56,756.62 : x
  2. Step 2: Convert to fraction form
    102,073.98/140,866.78 = 56,756.62/x
  3. Step 3: Cross multiply
    102,073.98x = 140,866.78 × 56,756.62
  4. Step 4: Simplify right side
    102,073.98x = 7,995,121,598.75
  5. Step 5: Solve for x
    x = 7,995,121,598.75/102,073.98
  6. Step 6: Final answer
    x = 78,326.74

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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.