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Finding the Fourth Proportional to 75,854, 104,683.56 and 42,320.72

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Solution

The fourth proportional to 75,854, 104,683.56 and 42,320.72 is: 58,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,854 : 104,683.56 = 42,320.72 : x
  2. Step 2: Convert to fraction form
    75,854/104,683.56 = 42,320.72/x
  3. Step 3: Cross multiply
    75,854x = 104,683.56 × 42,320.72
  4. Step 4: Simplify right side
    75,854x = 4,430,283,631.36
  5. Step 5: Solve for x
    x = 4,430,283,631.36/75,854
  6. Step 6: Final answer
    x = 58,405.41

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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.