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Finding the Fourth Proportional to 77,915.75, 107,498.45 and 47,669.54

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Solution

The fourth proportional to 77,915.75, 107,498.45 and 47,669.54 is: 65,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,915.75 : 107,498.45 = 47,669.54 : x
  2. Step 2: Convert to fraction form
    77,915.75/107,498.45 = 47,669.54/x
  3. Step 3: Cross multiply
    77,915.75x = 107,498.45 × 47,669.54
  4. Step 4: Simplify right side
    77,915.75x = 5,124,400,886.37
  5. Step 5: Solve for x
    x = 5,124,400,886.37/77,915.75
  6. Step 6: Final answer
    x = 65,768.49

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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.