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Finding the Fourth Proportional to 279,957.84, 419,688.09 and 109,140.18

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Solution

The fourth proportional to 279,957.84, 419,688.09 and 109,140.18 is: 163,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,957.84 : 419,688.09 = 109,140.18 : x
  2. Step 2: Convert to fraction form
    279,957.84/419,688.09 = 109,140.18/x
  3. Step 3: Cross multiply
    279,957.84x = 419,688.09 × 109,140.18
  4. Step 4: Simplify right side
    279,957.84x = 45,804,833,686.46
  5. Step 5: Solve for x
    x = 45,804,833,686.46/279,957.84
  6. Step 6: Final answer
    x = 163,613.33

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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.