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Finding the Fourth Proportional to 77,858.10, 107,448.10 and 47,633.96

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Solution

The fourth proportional to 77,858.10, 107,448.10 and 47,633.96 is: 65,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858.10 : 107,448.10 = 47,633.96 : x
  2. Step 2: Convert to fraction form
    77,858.10/107,448.10 = 47,633.96/x
  3. Step 3: Cross multiply
    77,858.10x = 107,448.10 × 47,633.96
  4. Step 4: Simplify right side
    77,858.10x = 5,118,178,497.48
  5. Step 5: Solve for x
    x = 5,118,178,497.48/77,858.10
  6. Step 6: Final answer
    x = 65,737.26

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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.