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Finding the Fourth Proportional to 42,830.44, 64,129.02 and 33,309.70

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Solution

The fourth proportional to 42,830.44, 64,129.02 and 33,309.70 is: 49,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,830.44 : 64,129.02 = 33,309.70 : x
  2. Step 2: Convert to fraction form
    42,830.44/64,129.02 = 33,309.70/x
  3. Step 3: Cross multiply
    42,830.44x = 64,129.02 × 33,309.70
  4. Step 4: Simplify right side
    42,830.44x = 2,136,118,417.49
  5. Step 5: Solve for x
    x = 2,136,118,417.49/42,830.44
  6. Step 6: Final answer
    x = 49,873.84

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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.