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Finding the Fourth Proportional to 159,425.36, 220,098.49 and 105,783.11

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Solution

The fourth proportional to 159,425.36, 220,098.49 and 105,783.11 is: 146,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,425.36 : 220,098.49 = 105,783.11 : x
  2. Step 2: Convert to fraction form
    159,425.36/220,098.49 = 105,783.11/x
  3. Step 3: Cross multiply
    159,425.36x = 220,098.49 × 105,783.11
  4. Step 4: Simplify right side
    159,425.36x = 23,282,701,413.55
  5. Step 5: Solve for x
    x = 23,282,701,413.55/159,425.36
  6. Step 6: Final answer
    x = 146,041.40

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1.5x scale

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.