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Finding the Fourth Proportional to 202,053.45, 278,835.72 and 111,413.04

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Solution

The fourth proportional to 202,053.45, 278,835.72 and 111,413.04 is: 153,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,053.45 : 278,835.72 = 111,413.04 : x
  2. Step 2: Convert to fraction form
    202,053.45/278,835.72 = 111,413.04/x
  3. Step 3: Cross multiply
    202,053.45x = 278,835.72 × 111,413.04
  4. Step 4: Simplify right side
    202,053.45x = 31,065,935,225.79
  5. Step 5: Solve for x
    x = 31,065,935,225.79/202,053.45
  6. Step 6: Final answer
    x = 153,751.08

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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.