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Finding the Fourth Proportional to 43,218.54, 64,784.04 and 29,143.98

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Solution

The fourth proportional to 43,218.54, 64,784.04 and 29,143.98 is: 43,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,218.54 : 64,784.04 = 29,143.98 : x
  2. Step 2: Convert to fraction form
    43,218.54/64,784.04 = 29,143.98/x
  3. Step 3: Cross multiply
    43,218.54x = 64,784.04 × 29,143.98
  4. Step 4: Simplify right side
    43,218.54x = 1,888,064,766.08
  5. Step 5: Solve for x
    x = 1,888,064,766.08/43,218.54
  6. Step 6: Final answer
    x = 43,686.45

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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.