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Finding the Fourth Proportional to 70,492.20, 105,762.60 and 31,077.60

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Solution

The fourth proportional to 70,492.20, 105,762.60 and 31,077.60 is: 46,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492.20 : 105,762.60 = 31,077.60 : x
  2. Step 2: Convert to fraction form
    70,492.20/105,762.60 = 31,077.60/x
  3. Step 3: Cross multiply
    70,492.20x = 105,762.60 × 31,077.60
  4. Step 4: Simplify right side
    70,492.20x = 3,286,847,777.76
  5. Step 5: Solve for x
    x = 3,286,847,777.76/70,492.20
  6. Step 6: Final answer
    x = 46,627.11

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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.