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Finding the Fourth Proportional to 281,337.02, 421,695.93 and 138,971.51

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Solution

The fourth proportional to 281,337.02, 421,695.93 and 138,971.51 is: 208,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,337.02 : 421,695.93 = 138,971.51 : x
  2. Step 2: Convert to fraction form
    281,337.02/421,695.93 = 138,971.51/x
  3. Step 3: Cross multiply
    281,337.02x = 421,695.93 × 138,971.51
  4. Step 4: Simplify right side
    281,337.02x = 58,603,720,152.95
  5. Step 5: Solve for x
    x = 58,603,720,152.95/281,337.02
  6. Step 6: Final answer
    x = 208,304.33

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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.