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Finding the Fourth Proportional to 76,970.85, 115,492.72 and 53,314.80

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Solution

The fourth proportional to 76,970.85, 115,492.72 and 53,314.80 is: 79,997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,970.85 : 115,492.72 = 53,314.80 : x
  2. Step 2: Convert to fraction form
    76,970.85/115,492.72 = 53,314.80/x
  3. Step 3: Cross multiply
    76,970.85x = 115,492.72 × 53,314.80
  4. Step 4: Simplify right side
    76,970.85x = 6,157,471,268.26
  5. Step 5: Solve for x
    x = 6,157,471,268.26/76,970.85
  6. Step 6: Final answer
    x = 79,997.44

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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.