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Finding the Fourth Proportional to 201,666.78, 278,300.10 and 112,263.90

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Solution

The fourth proportional to 201,666.78, 278,300.10 and 112,263.90 is: 154,924.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,666.78 : 278,300.10 = 112,263.90 : x
  2. Step 2: Convert to fraction form
    201,666.78/278,300.10 = 112,263.90/x
  3. Step 3: Cross multiply
    201,666.78x = 278,300.10 × 112,263.90
  4. Step 4: Simplify right side
    201,666.78x = 31,243,054,596.39
  5. Step 5: Solve for x
    x = 31,243,054,596.39/201,666.78
  6. Step 6: Final answer
    x = 154,924.15

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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.