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Finding the Fourth Proportional to 201,424.68, 277,978.50 and 112,000.68

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Solution

The fourth proportional to 201,424.68, 277,978.50 and 112,000.68 is: 154,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,424.68 : 277,978.50 = 112,000.68 : x
  2. Step 2: Convert to fraction form
    201,424.68/277,978.50 = 112,000.68/x
  3. Step 3: Cross multiply
    201,424.68x = 277,978.50 × 112,000.68
  4. Step 4: Simplify right side
    201,424.68x = 31,133,781,025.38
  5. Step 5: Solve for x
    x = 31,133,781,025.38/201,424.68
  6. Step 6: Final answer
    x = 154,567.86

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1.5x scale

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.