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Finding the Fourth Proportional to 129,303.36, 193,959.52 and 35,816

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Solution

The fourth proportional to 129,303.36, 193,959.52 and 35,816 is: 53,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,303.36 : 193,959.52 = 35,816 : x
  2. Step 2: Convert to fraction form
    129,303.36/193,959.52 = 35,816/x
  3. Step 3: Cross multiply
    129,303.36x = 193,959.52 × 35,816
  4. Step 4: Simplify right side
    129,303.36x = 6,946,854,168.32
  5. Step 5: Solve for x
    x = 6,946,854,168.32/129,303.36
  6. Step 6: Final answer
    x = 53,725.24

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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.