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Finding the Fourth Proportional to 78,081.36, 107,762.04 and 46,262.40

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Solution

The fourth proportional to 78,081.36, 107,762.04 and 46,262.40 is: 63,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,081.36 : 107,762.04 = 46,262.40 : x
  2. Step 2: Convert to fraction form
    78,081.36/107,762.04 = 46,262.40/x
  3. Step 3: Cross multiply
    78,081.36x = 107,762.04 × 46,262.40
  4. Step 4: Simplify right side
    78,081.36x = 4,985,330,599.30
  5. Step 5: Solve for x
    x = 4,985,330,599.30/78,081.36
  6. Step 6: Final answer
    x = 63,847.90

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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.