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Finding the Fourth Proportional to 142,401.60, 213,602.40 and 37,231.20

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Solution

The fourth proportional to 142,401.60, 213,602.40 and 37,231.20 is: 55,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,401.60 : 213,602.40 = 37,231.20 : x
  2. Step 2: Convert to fraction form
    142,401.60/213,602.40 = 37,231.20/x
  3. Step 3: Cross multiply
    142,401.60x = 213,602.40 × 37,231.20
  4. Step 4: Simplify right side
    142,401.60x = 7,952,673,674.88
  5. Step 5: Solve for x
    x = 7,952,673,674.88/142,401.60
  6. Step 6: Final answer
    x = 55,846.80

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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.