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Finding the Fourth Proportional to 104,135.80, 143,707.18 and 56,389

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Solution

The fourth proportional to 104,135.80, 143,707.18 and 56,389 is: 77,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,135.80 : 143,707.18 = 56,389 : x
  2. Step 2: Convert to fraction form
    104,135.80/143,707.18 = 56,389/x
  3. Step 3: Cross multiply
    104,135.80x = 143,707.18 × 56,389
  4. Step 4: Simplify right side
    104,135.80x = 8,103,504,173.02
  5. Step 5: Solve for x
    x = 8,103,504,173.02/104,135.80
  6. Step 6: Final answer
    x = 77,816.70

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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.