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Finding the Fourth Proportional to 177,705.80, 266,121.30 and 118,219.40

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Solution

The fourth proportional to 177,705.80, 266,121.30 and 118,219.40 is: 177,038.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,705.80 : 266,121.30 = 118,219.40 : x
  2. Step 2: Convert to fraction form
    177,705.80/266,121.30 = 118,219.40/x
  3. Step 3: Cross multiply
    177,705.80x = 266,121.30 × 118,219.40
  4. Step 4: Simplify right side
    177,705.80x = 31,460,700,413.22
  5. Step 5: Solve for x
    x = 31,460,700,413.22/177,705.80
  6. Step 6: Final answer
    x = 177,038.12

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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.