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Finding the Fourth Proportional to 185,803.42, 256,410.06 and 100,920.52

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Solution

The fourth proportional to 185,803.42, 256,410.06 and 100,920.52 is: 139,271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,803.42 : 256,410.06 = 100,920.52 : x
  2. Step 2: Convert to fraction form
    185,803.42/256,410.06 = 100,920.52/x
  3. Step 3: Cross multiply
    185,803.42x = 256,410.06 × 100,920.52
  4. Step 4: Simplify right side
    185,803.42x = 25,877,036,588.43
  5. Step 5: Solve for x
    x = 25,877,036,588.43/185,803.42
  6. Step 6: Final answer
    x = 139,271.05

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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.