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Finding the Fourth Proportional to 142,386.70, 213,563.85 and 37,216.30

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Solution

The fourth proportional to 142,386.70, 213,563.85 and 37,216.30 is: 55,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,386.70 : 213,563.85 = 37,216.30 : x
  2. Step 2: Convert to fraction form
    142,386.70/213,563.85 = 37,216.30/x
  3. Step 3: Cross multiply
    142,386.70x = 213,563.85 × 37,216.30
  4. Step 4: Simplify right side
    142,386.70x = 7,948,056,310.76
  5. Step 5: Solve for x
    x = 7,948,056,310.76/142,386.70
  6. Step 6: Final answer
    x = 55,820.22

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1.5x scale

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.