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Finding the Fourth Proportional to 85,470.39, 117,782.46 and 61,551.90

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Solution

The fourth proportional to 85,470.39, 117,782.46 and 61,551.90 is: 84,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,470.39 : 117,782.46 = 61,551.90 : x
  2. Step 2: Convert to fraction form
    85,470.39/117,782.46 = 61,551.90/x
  3. Step 3: Cross multiply
    85,470.39x = 117,782.46 × 61,551.90
  4. Step 4: Simplify right side
    85,470.39x = 7,249,734,199.67
  5. Step 5: Solve for x
    x = 7,249,734,199.67/85,470.39
  6. Step 6: Final answer
    x = 84,821.59

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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.