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Finding the Fourth Proportional to 75,978.66, 104,839.47 and 47,693.46

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Solution

The fourth proportional to 75,978.66, 104,839.47 and 47,693.46 is: 65,810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,978.66 : 104,839.47 = 47,693.46 : x
  2. Step 2: Convert to fraction form
    75,978.66/104,839.47 = 47,693.46/x
  3. Step 3: Cross multiply
    75,978.66x = 104,839.47 × 47,693.46
  4. Step 4: Simplify right side
    75,978.66x = 5,000,157,068.87
  5. Step 5: Solve for x
    x = 5,000,157,068.87/75,978.66
  6. Step 6: Final answer
    x = 65,810.02

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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.