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Finding the Fourth Proportional to 99,104.20, 136,764.16 and 53,782.17

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Solution

The fourth proportional to 99,104.20, 136,764.16 and 53,782.17 is: 74,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,104.20 : 136,764.16 = 53,782.17 : x
  2. Step 2: Convert to fraction form
    99,104.20/136,764.16 = 53,782.17/x
  3. Step 3: Cross multiply
    99,104.20x = 136,764.16 × 53,782.17
  4. Step 4: Simplify right side
    99,104.20x = 7,355,473,303.03
  5. Step 5: Solve for x
    x = 7,355,473,303.03/99,104.20
  6. Step 6: Final answer
    x = 74,219.59

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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.