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Finding the Fourth Proportional to 85,809.70, 128,711.04 and 35,876.98

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Solution

The fourth proportional to 85,809.70, 128,711.04 and 35,876.98 is: 53,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,809.70 : 128,711.04 = 35,876.98 : x
  2. Step 2: Convert to fraction form
    85,809.70/128,711.04 = 35,876.98/x
  3. Step 3: Cross multiply
    85,809.70x = 128,711.04 × 35,876.98
  4. Step 4: Simplify right side
    85,809.70x = 4,617,763,407.86
  5. Step 5: Solve for x
    x = 4,617,763,407.86/85,809.70
  6. Step 6: Final answer
    x = 53,814.00

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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.