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Finding the Fourth Proportional to 208,535.94, 312,570.63 and 90,029.70

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Solution

The fourth proportional to 208,535.94, 312,570.63 and 90,029.70 is: 134,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,535.94 : 312,570.63 = 90,029.70 : x
  2. Step 2: Convert to fraction form
    208,535.94/312,570.63 = 90,029.70/x
  3. Step 3: Cross multiply
    208,535.94x = 312,570.63 × 90,029.70
  4. Step 4: Simplify right side
    208,535.94x = 28,140,640,047.71
  5. Step 5: Solve for x
    x = 28,140,640,047.71/208,535.94
  6. Step 6: Final answer
    x = 134,943.84

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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.