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Finding the Fourth Proportional to 281,139.46, 387,978.05 and 153,817.79

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Solution

The fourth proportional to 281,139.46, 387,978.05 and 153,817.79 is: 212,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,139.46 : 387,978.05 = 153,817.79 : x
  2. Step 2: Convert to fraction form
    281,139.46/387,978.05 = 153,817.79/x
  3. Step 3: Cross multiply
    281,139.46x = 387,978.05 × 153,817.79
  4. Step 4: Simplify right side
    281,139.46x = 59,677,924,664.16
  5. Step 5: Solve for x
    x = 59,677,924,664.16/281,139.46
  6. Step 6: Final answer
    x = 212,271.61

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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.