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Finding the Fourth Proportional to 75,295.70, 103,911.35 and 45,075.20

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Solution

The fourth proportional to 75,295.70, 103,911.35 and 45,075.20 is: 62,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,295.70 : 103,911.35 = 45,075.20 : x
  2. Step 2: Convert to fraction form
    75,295.70/103,911.35 = 45,075.20/x
  3. Step 3: Cross multiply
    75,295.70x = 103,911.35 × 45,075.20
  4. Step 4: Simplify right side
    75,295.70x = 4,683,824,138.59
  5. Step 5: Solve for x
    x = 4,683,824,138.59/75,295.70
  6. Step 6: Final answer
    x = 62,205.74

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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.