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Finding the Fourth Proportional to 77,582.76, 107,060.76 and 47,418.48

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Solution

The fourth proportional to 77,582.76, 107,060.76 and 47,418.48 is: 65,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,582.76 : 107,060.76 = 47,418.48 : x
  2. Step 2: Convert to fraction form
    77,582.76/107,060.76 = 47,418.48/x
  3. Step 3: Cross multiply
    77,582.76x = 107,060.76 × 47,418.48
  4. Step 4: Simplify right side
    77,582.76x = 5,076,658,506.84
  5. Step 5: Solve for x
    x = 5,076,658,506.84/77,582.76
  6. Step 6: Final answer
    x = 65,435.39

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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.