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Finding the Fourth Proportional to 56,493.40, 84,740.10 and 53,431.60

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Solution

The fourth proportional to 56,493.40, 84,740.10 and 53,431.60 is: 80,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,493.40 : 84,740.10 = 53,431.60 : x
  2. Step 2: Convert to fraction form
    56,493.40/84,740.10 = 53,431.60/x
  3. Step 3: Cross multiply
    56,493.40x = 84,740.10 × 53,431.60
  4. Step 4: Simplify right side
    56,493.40x = 4,527,799,127.16
  5. Step 5: Solve for x
    x = 4,527,799,127.16/56,493.40
  6. Step 6: Final answer
    x = 80,147.40

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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.