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Finding the Fourth Proportional to 211,328.80, 317,041.04 and 121,413.03

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Solution

The fourth proportional to 211,328.80, 317,041.04 and 121,413.03 is: 182,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,328.80 : 317,041.04 = 121,413.03 : x
  2. Step 2: Convert to fraction form
    211,328.80/317,041.04 = 121,413.03/x
  3. Step 3: Cross multiply
    211,328.80x = 317,041.04 × 121,413.03
  4. Step 4: Simplify right side
    211,328.80x = 38,492,911,732.43
  5. Step 5: Solve for x
    x = 38,492,911,732.43/211,328.80
  6. Step 6: Final answer
    x = 182,147.02

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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.