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Finding the Fourth Proportional to 42,666.64, 63,907.52 and 30,954

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Solution

The fourth proportional to 42,666.64, 63,907.52 and 30,954 is: 46,363.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,666.64 : 63,907.52 = 30,954 : x
  2. Step 2: Convert to fraction form
    42,666.64/63,907.52 = 30,954/x
  3. Step 3: Cross multiply
    42,666.64x = 63,907.52 × 30,954
  4. Step 4: Simplify right side
    42,666.64x = 1,978,193,374.08
  5. Step 5: Solve for x
    x = 1,978,193,374.08/42,666.64
  6. Step 6: Final answer
    x = 46,363.94

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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.