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Finding the Fourth Proportional to 281,123.96, 421,415.28 and 103,534.08

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Solution

The fourth proportional to 281,123.96, 421,415.28 and 103,534.08 is: 155,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,123.96 : 421,415.28 = 103,534.08 : x
  2. Step 2: Convert to fraction form
    281,123.96/421,415.28 = 103,534.08/x
  3. Step 3: Cross multiply
    281,123.96x = 421,415.28 × 103,534.08
  4. Step 4: Simplify right side
    281,123.96x = 43,630,843,312.74
  5. Step 5: Solve for x
    x = 43,630,843,312.74/281,123.96
  6. Step 6: Final answer
    x = 155,201.44

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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.