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Finding the Fourth Proportional to 136,409.94, 204,646.48 and 42,913.26

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Solution

The fourth proportional to 136,409.94, 204,646.48 and 42,913.26 is: 64,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,409.94 : 204,646.48 = 42,913.26 : x
  2. Step 2: Convert to fraction form
    136,409.94/204,646.48 = 42,913.26/x
  3. Step 3: Cross multiply
    136,409.94x = 204,646.48 × 42,913.26
  4. Step 4: Simplify right side
    136,409.94x = 8,782,047,604.32
  5. Step 5: Solve for x
    x = 8,782,047,604.32/136,409.94
  6. Step 6: Final answer
    x = 64,379.82

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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.