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Finding the Fourth Proportional to 78,782.40, 118,075.05 and 39,350.52

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Solution

The fourth proportional to 78,782.40, 118,075.05 and 39,350.52 is: 58,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,782.40 : 118,075.05 = 39,350.52 : x
  2. Step 2: Convert to fraction form
    78,782.40/118,075.05 = 39,350.52/x
  3. Step 3: Cross multiply
    78,782.40x = 118,075.05 × 39,350.52
  4. Step 4: Simplify right side
    78,782.40x = 4,646,314,616.53
  5. Step 5: Solve for x
    x = 4,646,314,616.53/78,782.40
  6. Step 6: Final answer
    x = 58,976.56

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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.