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Finding the Fourth Proportional to 86,878.56, 119,894.94 and 49,152

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Solution

The fourth proportional to 86,878.56, 119,894.94 and 49,152 is: 67,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,878.56 : 119,894.94 = 49,152 : x
  2. Step 2: Convert to fraction form
    86,878.56/119,894.94 = 49,152/x
  3. Step 3: Cross multiply
    86,878.56x = 119,894.94 × 49,152
  4. Step 4: Simplify right side
    86,878.56x = 5,893,076,090.88
  5. Step 5: Solve for x
    x = 5,893,076,090.88/86,878.56
  6. Step 6: Final answer
    x = 67,831.19

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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.