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Finding the Fourth Proportional to 105,080.88, 157,459.32 and 51,711.60

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Solution

The fourth proportional to 105,080.88, 157,459.32 and 51,711.60 is: 77,487.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,080.88 : 157,459.32 = 51,711.60 : x
  2. Step 2: Convert to fraction form
    105,080.88/157,459.32 = 51,711.60/x
  3. Step 3: Cross multiply
    105,080.88x = 157,459.32 × 51,711.60
  4. Step 4: Simplify right side
    105,080.88x = 8,142,473,372.11
  5. Step 5: Solve for x
    x = 8,142,473,372.11/105,080.88
  6. Step 6: Final answer
    x = 77,487.68

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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.