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Finding the Fourth Proportional to 162,557.80, 243,836.70 and 109,413.70

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Solution

The fourth proportional to 162,557.80, 243,836.70 and 109,413.70 is: 164,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,557.80 : 243,836.70 = 109,413.70 : x
  2. Step 2: Convert to fraction form
    162,557.80/243,836.70 = 109,413.70/x
  3. Step 3: Cross multiply
    162,557.80x = 243,836.70 × 109,413.70
  4. Step 4: Simplify right side
    162,557.80x = 26,679,075,542.79
  5. Step 5: Solve for x
    x = 26,679,075,542.79/162,557.80
  6. Step 6: Final answer
    x = 164,120.55

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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.