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Finding the Fourth Proportional to 145,558.40, 218,205.60 and 52,042.40

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Solution

The fourth proportional to 145,558.40, 218,205.60 and 52,042.40 is: 78,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,558.40 : 218,205.60 = 52,042.40 : x
  2. Step 2: Convert to fraction form
    145,558.40/218,205.60 = 52,042.40/x
  3. Step 3: Cross multiply
    145,558.40x = 218,205.60 × 52,042.40
  4. Step 4: Simplify right side
    145,558.40x = 11,355,943,117.44
  5. Step 5: Solve for x
    x = 11,355,943,117.44/145,558.40
  6. Step 6: Final answer
    x = 78,016.41

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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.