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Finding the Fourth Proportional to 209,575.15, 314,362.82 and 69,333.77

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Solution

The fourth proportional to 209,575.15, 314,362.82 and 69,333.77 is: 104,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,575.15 : 314,362.82 = 69,333.77 : x
  2. Step 2: Convert to fraction form
    209,575.15/314,362.82 = 69,333.77/x
  3. Step 3: Cross multiply
    209,575.15x = 314,362.82 × 69,333.77
  4. Step 4: Simplify right side
    209,575.15x = 21,795,960,417.67
  5. Step 5: Solve for x
    x = 21,795,960,417.67/209,575.15
  6. Step 6: Final answer
    x = 104,000.69

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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.