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Finding the Fourth Proportional to 145,919.20, 218,878.80 and 52,412.80

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Solution

The fourth proportional to 145,919.20, 218,878.80 and 52,412.80 is: 78,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,919.20 : 218,878.80 = 52,412.80 : x
  2. Step 2: Convert to fraction form
    145,919.20/218,878.80 = 52,412.80/x
  3. Step 3: Cross multiply
    145,919.20x = 218,878.80 × 52,412.80
  4. Step 4: Simplify right side
    145,919.20x = 11,472,050,768.64
  5. Step 5: Solve for x
    x = 11,472,050,768.64/145,919.20
  6. Step 6: Final answer
    x = 78,619.20

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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.