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Finding the Fourth Proportional to 205,643.50, 308,510.61 and 87,415.90

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Solution

The fourth proportional to 205,643.50, 308,510.61 and 87,415.90 is: 131,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,643.50 : 308,510.61 = 87,415.90 : x
  2. Step 2: Convert to fraction form
    205,643.50/308,510.61 = 87,415.90/x
  3. Step 3: Cross multiply
    205,643.50x = 308,510.61 × 87,415.90
  4. Step 4: Simplify right side
    205,643.50x = 26,968,732,632.70
  5. Step 5: Solve for x
    x = 26,968,732,632.70/205,643.50
  6. Step 6: Final answer
    x = 131,143.13

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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.