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Finding the Fourth Proportional to 52,491.40, 72,421.86 and 29,829.40

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Solution

The fourth proportional to 52,491.40, 72,421.86 and 29,829.40 is: 41,155.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,491.40 : 72,421.86 = 29,829.40 : x
  2. Step 2: Convert to fraction form
    52,491.40/72,421.86 = 29,829.40/x
  3. Step 3: Cross multiply
    52,491.40x = 72,421.86 × 29,829.40
  4. Step 4: Simplify right side
    52,491.40x = 2,160,300,630.68
  5. Step 5: Solve for x
    x = 2,160,300,630.68/52,491.40
  6. Step 6: Final answer
    x = 41,155.33

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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.