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Finding the Fourth Proportional to 77,604, 107,088.48 and 45,765.60

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Solution

The fourth proportional to 77,604, 107,088.48 and 45,765.60 is: 63,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,604 : 107,088.48 = 45,765.60 : x
  2. Step 2: Convert to fraction form
    77,604/107,088.48 = 45,765.60/x
  3. Step 3: Cross multiply
    77,604x = 107,088.48 × 45,765.60
  4. Step 4: Simplify right side
    77,604x = 4,900,968,540.29
  5. Step 5: Solve for x
    x = 4,900,968,540.29/77,604
  6. Step 6: Final answer
    x = 63,153.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.