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Finding the Fourth Proportional to 109,543.80, 164,313.99 and 56,205

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Solution

The fourth proportional to 109,543.80, 164,313.99 and 56,205 is: 84,306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,543.80 : 164,313.99 = 56,205 : x
  2. Step 2: Convert to fraction form
    109,543.80/164,313.99 = 56,205/x
  3. Step 3: Cross multiply
    109,543.80x = 164,313.99 × 56,205
  4. Step 4: Simplify right side
    109,543.80x = 9,235,267,807.95
  5. Step 5: Solve for x
    x = 9,235,267,807.95/109,543.80
  6. Step 6: Final answer
    x = 84,306.62

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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.