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Finding the Fourth Proportional to 56,762.64, 85,029.21 and 28,643.49

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Solution

The fourth proportional to 56,762.64, 85,029.21 and 28,643.49 is: 42,907.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,762.64 : 85,029.21 = 28,643.49 : x
  2. Step 2: Convert to fraction form
    56,762.64/85,029.21 = 28,643.49/x
  3. Step 3: Cross multiply
    56,762.64x = 85,029.21 × 28,643.49
  4. Step 4: Simplify right side
    56,762.64x = 2,435,533,326.34
  5. Step 5: Solve for x
    x = 2,435,533,326.34/56,762.64
  6. Step 6: Final answer
    x = 42,907.33

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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.