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Finding the Fourth Proportional to 42,709.60, 64,040.40 and 16,415.20

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Solution

The fourth proportional to 42,709.60, 64,040.40 and 16,415.20 is: 24,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,709.60 : 64,040.40 = 16,415.20 : x
  2. Step 2: Convert to fraction form
    42,709.60/64,040.40 = 16,415.20/x
  3. Step 3: Cross multiply
    42,709.60x = 64,040.40 × 16,415.20
  4. Step 4: Simplify right side
    42,709.60x = 1,051,235,974.08
  5. Step 5: Solve for x
    x = 1,051,235,974.08/42,709.60
  6. Step 6: Final answer
    x = 24,613.58

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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.