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Finding the Fourth Proportional to 45,455, 68,193.48 and 14,290.16

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Solution

The fourth proportional to 45,455, 68,193.48 and 14,290.16 is: 21,438.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,455 : 68,193.48 = 14,290.16 : x
  2. Step 2: Convert to fraction form
    45,455/68,193.48 = 14,290.16/x
  3. Step 3: Cross multiply
    45,455x = 68,193.48 × 14,290.16
  4. Step 4: Simplify right side
    45,455x = 974,495,740.16
  5. Step 5: Solve for x
    x = 974,495,740.16/45,455
  6. Step 6: Final answer
    x = 21,438.69

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1.5x scale

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.