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Finding the Fourth Proportional to 221,040.16, 305,075.28 and 130,390.72

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Solution

The fourth proportional to 221,040.16, 305,075.28 and 130,390.72 is: 179,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,040.16 : 305,075.28 = 130,390.72 : x
  2. Step 2: Convert to fraction form
    221,040.16/305,075.28 = 130,390.72/x
  3. Step 3: Cross multiply
    221,040.16x = 305,075.28 × 130,390.72
  4. Step 4: Simplify right side
    221,040.16x = 39,778,985,413.40
  5. Step 5: Solve for x
    x = 39,778,985,413.40/221,040.16
  6. Step 6: Final answer
    x = 179,962.71

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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.