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Finding the Fourth Proportional to 243,698.98, 365,432.22 and 142,525.54

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Solution

The fourth proportional to 243,698.98, 365,432.22 and 142,525.54 is: 213,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,698.98 : 365,432.22 = 142,525.54 : x
  2. Step 2: Convert to fraction form
    243,698.98/365,432.22 = 142,525.54/x
  3. Step 3: Cross multiply
    243,698.98x = 365,432.22 × 142,525.54
  4. Step 4: Simplify right side
    243,698.98x = 52,083,424,488.90
  5. Step 5: Solve for x
    x = 52,083,424,488.90/243,698.98
  6. Step 6: Final answer
    x = 213,720.32

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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.