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Finding the Fourth Proportional to 201,656.90, 302,485.35 and 83,413.10

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Solution

The fourth proportional to 201,656.90, 302,485.35 and 83,413.10 is: 125,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,656.90 : 302,485.35 = 83,413.10 : x
  2. Step 2: Convert to fraction form
    201,656.90/302,485.35 = 83,413.10/x
  3. Step 3: Cross multiply
    201,656.90x = 302,485.35 × 83,413.10
  4. Step 4: Simplify right side
    201,656.90x = 25,231,240,748.09
  5. Step 5: Solve for x
    x = 25,231,240,748.09/201,656.90
  6. Step 6: Final answer
    x = 125,119.65

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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.