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Finding the Fourth Proportional to 78,209.60, 117,314.40 and 48,612.20

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Solution

The fourth proportional to 78,209.60, 117,314.40 and 48,612.20 is: 72,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,209.60 : 117,314.40 = 48,612.20 : x
  2. Step 2: Convert to fraction form
    78,209.60/117,314.40 = 48,612.20/x
  3. Step 3: Cross multiply
    78,209.60x = 117,314.40 × 48,612.20
  4. Step 4: Simplify right side
    78,209.60x = 5,702,911,075.68
  5. Step 5: Solve for x
    x = 5,702,911,075.68/78,209.60
  6. Step 6: Final answer
    x = 72,918.30

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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.