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Finding the Fourth Proportional to 77,702.75, 107,258.82 and 45,447.74

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Solution

The fourth proportional to 77,702.75, 107,258.82 and 45,447.74 is: 62,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,702.75 : 107,258.82 = 45,447.74 : x
  2. Step 2: Convert to fraction form
    77,702.75/107,258.82 = 45,447.74/x
  3. Step 3: Cross multiply
    77,702.75x = 107,258.82 × 45,447.74
  4. Step 4: Simplify right side
    77,702.75x = 4,874,670,964.07
  5. Step 5: Solve for x
    x = 4,874,670,964.07/77,702.75
  6. Step 6: Final answer
    x = 62,734.86

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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.