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Finding the Fourth Proportional to 281,319.04, 422,051.08 and 101,397.32

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Solution

The fourth proportional to 281,319.04, 422,051.08 and 101,397.32 is: 152,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,319.04 : 422,051.08 = 101,397.32 : x
  2. Step 2: Convert to fraction form
    281,319.04/422,051.08 = 101,397.32/x
  3. Step 3: Cross multiply
    281,319.04x = 422,051.08 × 101,397.32
  4. Step 4: Simplify right side
    281,319.04x = 42,794,848,415.11
  5. Step 5: Solve for x
    x = 42,794,848,415.11/281,319.04
  6. Step 6: Final answer
    x = 152,122.12

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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.