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Finding the Fourth Proportional to 140,648.20, 210,973.18 and 57,542.20

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Solution

The fourth proportional to 140,648.20, 210,973.18 and 57,542.20 is: 86,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,648.20 : 210,973.18 = 57,542.20 : x
  2. Step 2: Convert to fraction form
    140,648.20/210,973.18 = 57,542.20/x
  3. Step 3: Cross multiply
    140,648.20x = 210,973.18 × 57,542.20
  4. Step 4: Simplify right side
    140,648.20x = 12,139,860,918.20
  5. Step 5: Solve for x
    x = 12,139,860,918.20/140,648.20
  6. Step 6: Final answer
    x = 86,313.66

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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.