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Finding the Fourth Proportional to 52,423.42, 72,342 and 28,548.66

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Solution

The fourth proportional to 52,423.42, 72,342 and 28,548.66 is: 39,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,423.42 : 72,342 = 28,548.66 : x
  2. Step 2: Convert to fraction form
    52,423.42/72,342 = 28,548.66/x
  3. Step 3: Cross multiply
    52,423.42x = 72,342 × 28,548.66
  4. Step 4: Simplify right side
    52,423.42x = 2,065,267,161.72
  5. Step 5: Solve for x
    x = 2,065,267,161.72/52,423.42
  6. Step 6: Final answer
    x = 39,395.89

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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.