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Finding the Fourth Proportional to 243,703.12, 365,413.96 and 75,178.20

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Solution

The fourth proportional to 243,703.12, 365,413.96 and 75,178.20 is: 112,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,703.12 : 365,413.96 = 75,178.20 : x
  2. Step 2: Convert to fraction form
    243,703.12/365,413.96 = 75,178.20/x
  3. Step 3: Cross multiply
    243,703.12x = 365,413.96 × 75,178.20
  4. Step 4: Simplify right side
    243,703.12x = 27,471,163,767.67
  5. Step 5: Solve for x
    x = 27,471,163,767.67/243,703.12
  6. Step 6: Final answer
    x = 112,723.89

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1.5x scale

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.