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Finding the Fourth Proportional to 45,416.40, 68,124.60 and 31,419.60

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Solution

The fourth proportional to 45,416.40, 68,124.60 and 31,419.60 is: 47,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,416.40 : 68,124.60 = 31,419.60 : x
  2. Step 2: Convert to fraction form
    45,416.40/68,124.60 = 31,419.60/x
  3. Step 3: Cross multiply
    45,416.40x = 68,124.60 × 31,419.60
  4. Step 4: Simplify right side
    45,416.40x = 2,140,447,682.16
  5. Step 5: Solve for x
    x = 2,140,447,682.16/45,416.40
  6. Step 6: Final answer
    x = 47,129.40

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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.