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Finding the Fourth Proportional to 51,308.90, 71,657.50 and 51,308.90

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Solution

The fourth proportional to 51,308.90, 71,657.50 and 51,308.90 is: 71,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,308.90 : 71,657.50 = 51,308.90 : x
  2. Step 2: Convert to fraction form
    51,308.90/71,657.50 = 51,308.90/x
  3. Step 3: Cross multiply
    51,308.90x = 71,657.50 × 51,308.90
  4. Step 4: Simplify right side
    51,308.90x = 3,676,667,501.75
  5. Step 5: Solve for x
    x = 3,676,667,501.75/51,308.90
  6. Step 6: Final answer
    x = 71,657.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.