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Finding the Fourth Proportional to 105,459.60, 158,108.40 and 52,906.80

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Solution

The fourth proportional to 105,459.60, 158,108.40 and 52,906.80 is: 79,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,459.60 : 158,108.40 = 52,906.80 : x
  2. Step 2: Convert to fraction form
    105,459.60/158,108.40 = 52,906.80/x
  3. Step 3: Cross multiply
    105,459.60x = 158,108.40 × 52,906.80
  4. Step 4: Simplify right side
    105,459.60x = 8,365,009,497.12
  5. Step 5: Solve for x
    x = 8,365,009,497.12/105,459.60
  6. Step 6: Final answer
    x = 79,319.56

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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.