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Finding the Fourth Proportional to 35,505, 49,000.14 and 20,402.28

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Solution

The fourth proportional to 35,505, 49,000.14 and 20,402.28 is: 28,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,505 : 49,000.14 = 20,402.28 : x
  2. Step 2: Convert to fraction form
    35,505/49,000.14 = 20,402.28/x
  3. Step 3: Cross multiply
    35,505x = 49,000.14 × 20,402.28
  4. Step 4: Simplify right side
    35,505x = 999,714,576.32
  5. Step 5: Solve for x
    x = 999,714,576.32/35,505
  6. Step 6: Final answer
    x = 28,157.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.