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Finding the Fourth Proportional to 77,951.94, 107,548.16 and 47,705.72

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Solution

The fourth proportional to 77,951.94, 107,548.16 and 47,705.72 is: 65,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,951.94 : 107,548.16 = 47,705.72 : x
  2. Step 2: Convert to fraction form
    77,951.94/107,548.16 = 47,705.72/x
  3. Step 3: Cross multiply
    77,951.94x = 107,548.16 × 47,705.72
  4. Step 4: Simplify right side
    77,951.94x = 5,130,662,407.48
  5. Step 5: Solve for x
    x = 5,130,662,407.48/77,951.94
  6. Step 6: Final answer
    x = 65,818.28

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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.