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Finding the Fourth Proportional to 136,462.40, 204,722.40 and 42,977.60

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Solution

The fourth proportional to 136,462.40, 204,722.40 and 42,977.60 is: 64,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,462.40 : 204,722.40 = 42,977.60 : x
  2. Step 2: Convert to fraction form
    136,462.40/204,722.40 = 42,977.60/x
  3. Step 3: Cross multiply
    136,462.40x = 204,722.40 × 42,977.60
  4. Step 4: Simplify right side
    136,462.40x = 8,798,477,418.24
  5. Step 5: Solve for x
    x = 8,798,477,418.24/136,462.40
  6. Step 6: Final answer
    x = 64,475.47

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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.