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Finding the Fourth Proportional to 142,941, 214,420.68 and 37,757.28

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Solution

The fourth proportional to 142,941, 214,420.68 and 37,757.28 is: 56,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,941 : 214,420.68 = 37,757.28 : x
  2. Step 2: Convert to fraction form
    142,941/214,420.68 = 37,757.28/x
  3. Step 3: Cross multiply
    142,941x = 214,420.68 × 37,757.28
  4. Step 4: Simplify right side
    142,941x = 8,095,941,652.55
  5. Step 5: Solve for x
    x = 8,095,941,652.55/142,941
  6. Step 6: Final answer
    x = 56,638.34

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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.