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Finding the Fourth Proportional to 51,637.50, 71,259.75 and 29,281.50

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Solution

The fourth proportional to 51,637.50, 71,259.75 and 29,281.50 is: 40,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,637.50 : 71,259.75 = 29,281.50 : x
  2. Step 2: Convert to fraction form
    51,637.50/71,259.75 = 29,281.50/x
  3. Step 3: Cross multiply
    51,637.50x = 71,259.75 × 29,281.50
  4. Step 4: Simplify right side
    51,637.50x = 2,086,592,369.63
  5. Step 5: Solve for x
    x = 2,086,592,369.63/51,637.50
  6. Step 6: Final answer
    x = 40,408.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.