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Finding the Fourth Proportional to 84,064.86, 115,972.74 and 55,347.48

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Solution

The fourth proportional to 84,064.86, 115,972.74 and 55,347.48 is: 76,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,064.86 : 115,972.74 = 55,347.48 : x
  2. Step 2: Convert to fraction form
    84,064.86/115,972.74 = 55,347.48/x
  3. Step 3: Cross multiply
    84,064.86x = 115,972.74 × 55,347.48
  4. Step 4: Simplify right side
    84,064.86x = 6,418,798,907.70
  5. Step 5: Solve for x
    x = 6,418,798,907.70/84,064.86
  6. Step 6: Final answer
    x = 76,355.32

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1.5x scale

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.