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Finding the Fourth Proportional to 77,711.70, 116,567.55 and 71,750.10

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Solution

The fourth proportional to 77,711.70, 116,567.55 and 71,750.10 is: 107,625.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,711.70 : 116,567.55 = 71,750.10 : x
  2. Step 2: Convert to fraction form
    77,711.70/116,567.55 = 71,750.10/x
  3. Step 3: Cross multiply
    77,711.70x = 116,567.55 × 71,750.10
  4. Step 4: Simplify right side
    77,711.70x = 8,363,733,369.26
  5. Step 5: Solve for x
    x = 8,363,733,369.26/77,711.70
  6. Step 6: Final answer
    x = 107,625.15

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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.