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Finding the Fourth Proportional to 185,722.92, 256,297.64 and 100,840

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Solution

The fourth proportional to 185,722.92, 256,297.64 and 100,840 is: 139,159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,722.92 : 256,297.64 = 100,840 : x
  2. Step 2: Convert to fraction form
    185,722.92/256,297.64 = 100,840/x
  3. Step 3: Cross multiply
    185,722.92x = 256,297.64 × 100,840
  4. Step 4: Simplify right side
    185,722.92x = 25,845,054,017.60
  5. Step 5: Solve for x
    x = 25,845,054,017.60/185,722.92
  6. Step 6: Final answer
    x = 139,159.21

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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.