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Finding the Fourth Proportional to 78,208.60, 117,312.90 and 48,611.20

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Solution

The fourth proportional to 78,208.60, 117,312.90 and 48,611.20 is: 72,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,208.60 : 117,312.90 = 48,611.20 : x
  2. Step 2: Convert to fraction form
    78,208.60/117,312.90 = 48,611.20/x
  3. Step 3: Cross multiply
    78,208.60x = 117,312.90 × 48,611.20
  4. Step 4: Simplify right side
    78,208.60x = 5,702,720,844.48
  5. Step 5: Solve for x
    x = 5,702,720,844.48/78,208.60
  6. Step 6: Final answer
    x = 72,916.80

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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.