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Finding the Fourth Proportional to 208,762.95, 313,140.76 and 144,661.98

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Solution

The fourth proportional to 208,762.95, 313,140.76 and 144,661.98 is: 216,990.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,762.95 : 313,140.76 = 144,661.98 : x
  2. Step 2: Convert to fraction form
    208,762.95/313,140.76 = 144,661.98/x
  3. Step 3: Cross multiply
    208,762.95x = 313,140.76 × 144,661.98
  4. Step 4: Simplify right side
    208,762.95x = 45,299,562,360.30
  5. Step 5: Solve for x
    x = 45,299,562,360.30/208,762.95
  6. Step 6: Final answer
    x = 216,990.43

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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.