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Finding the Fourth Proportional to 122,967.80, 184,617.54 and 78,681

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Solution

The fourth proportional to 122,967.80, 184,617.54 and 78,681 is: 118,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,967.80 : 184,617.54 = 78,681 : x
  2. Step 2: Convert to fraction form
    122,967.80/184,617.54 = 78,681/x
  3. Step 3: Cross multiply
    122,967.80x = 184,617.54 × 78,681
  4. Step 4: Simplify right side
    122,967.80x = 14,525,892,664.74
  5. Step 5: Solve for x
    x = 14,525,892,664.74/122,967.80
  6. Step 6: Final answer
    x = 118,127.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.