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Finding the Fourth Proportional to 78,585.60, 117,878.40 and 19,420.80

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Solution

The fourth proportional to 78,585.60, 117,878.40 and 19,420.80 is: 29,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,585.60 : 117,878.40 = 19,420.80 : x
  2. Step 2: Convert to fraction form
    78,585.60/117,878.40 = 19,420.80/x
  3. Step 3: Cross multiply
    78,585.60x = 117,878.40 × 19,420.80
  4. Step 4: Simplify right side
    78,585.60x = 2,289,292,830.72
  5. Step 5: Solve for x
    x = 2,289,292,830.72/78,585.60
  6. Step 6: Final answer
    x = 29,131.20

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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.