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Finding the Fourth Proportional to 102,073.48, 140,866.09 and 56,756.12

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Solution

The fourth proportional to 102,073.48, 140,866.09 and 56,756.12 is: 78,326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,073.48 : 140,866.09 = 56,756.12 : x
  2. Step 2: Convert to fraction form
    102,073.48/140,866.09 = 56,756.12/x
  3. Step 3: Cross multiply
    102,073.48x = 140,866.09 × 56,756.12
  4. Step 4: Simplify right side
    102,073.48x = 7,995,011,861.75
  5. Step 5: Solve for x
    x = 7,995,011,861.75/102,073.48
  6. Step 6: Final answer
    x = 78,326.05

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1.5x scale

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.