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Finding the Fourth Proportional to 75,289.68, 103,896 and 43,456.68

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Solution

The fourth proportional to 75,289.68, 103,896 and 43,456.68 is: 59,968.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,289.68 : 103,896 = 43,456.68 : x
  2. Step 2: Convert to fraction form
    75,289.68/103,896 = 43,456.68/x
  3. Step 3: Cross multiply
    75,289.68x = 103,896 × 43,456.68
  4. Step 4: Simplify right side
    75,289.68x = 4,514,975,225.28
  5. Step 5: Solve for x
    x = 4,514,975,225.28/75,289.68
  6. Step 6: Final answer
    x = 59,968.05

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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.