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Finding the Fourth Proportional to 145,395.32, 218,122.24 and 51,898.64

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Solution

The fourth proportional to 145,395.32, 218,122.24 and 51,898.64 is: 77,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,395.32 : 218,122.24 = 51,898.64 : x
  2. Step 2: Convert to fraction form
    145,395.32/218,122.24 = 51,898.64/x
  3. Step 3: Cross multiply
    145,395.32x = 218,122.24 × 51,898.64
  4. Step 4: Simplify right side
    145,395.32x = 11,320,247,609.75
  5. Step 5: Solve for x
    x = 11,320,247,609.75/145,395.32
  6. Step 6: Final answer
    x = 77,858.40

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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.