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Finding the Fourth Proportional to 145,658.40, 218,552.40 and 52,231.20

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Solution

The fourth proportional to 145,658.40, 218,552.40 and 52,231.20 is: 78,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,658.40 : 218,552.40 = 52,231.20 : x
  2. Step 2: Convert to fraction form
    145,658.40/218,552.40 = 52,231.20/x
  3. Step 3: Cross multiply
    145,658.40x = 218,552.40 × 52,231.20
  4. Step 4: Simplify right side
    145,658.40x = 11,415,254,114.88
  5. Step 5: Solve for x
    x = 11,415,254,114.88/145,658.40
  6. Step 6: Final answer
    x = 78,370.04

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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.