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Finding the Fourth Proportional to 203,710.95, 280,951.54 and 152,836.57

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Solution

The fourth proportional to 203,710.95, 280,951.54 and 152,836.57 is: 210,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,710.95 : 280,951.54 = 152,836.57 : x
  2. Step 2: Convert to fraction form
    203,710.95/280,951.54 = 152,836.57/x
  3. Step 3: Cross multiply
    203,710.95x = 280,951.54 × 152,836.57
  4. Step 4: Simplify right side
    203,710.95x = 42,939,669,678.92
  5. Step 5: Solve for x
    x = 42,939,669,678.92/203,710.95
  6. Step 6: Final answer
    x = 210,787.24

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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.