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Finding the Fourth Proportional to 76,640, 105,762.16 and 43,106.08

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Solution

The fourth proportional to 76,640, 105,762.16 and 43,106.08 is: 59,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,640 : 105,762.16 = 43,106.08 : x
  2. Step 2: Convert to fraction form
    76,640/105,762.16 = 43,106.08/x
  3. Step 3: Cross multiply
    76,640x = 105,762.16 × 43,106.08
  4. Step 4: Simplify right side
    76,640x = 4,558,992,129.93
  5. Step 5: Solve for x
    x = 4,558,992,129.93/76,640
  6. Step 6: Final answer
    x = 59,485.81

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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.