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Finding the Fourth Proportional to 209,968.48, 289,745.52 and 119,312.32

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Solution

The fourth proportional to 209,968.48, 289,745.52 and 119,312.32 is: 164,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,968.48 : 289,745.52 = 119,312.32 : x
  2. Step 2: Convert to fraction form
    209,968.48/289,745.52 = 119,312.32/x
  3. Step 3: Cross multiply
    209,968.48x = 289,745.52 × 119,312.32
  4. Step 4: Simplify right side
    209,968.48x = 34,570,210,200.81
  5. Step 5: Solve for x
    x = 34,570,210,200.81/209,968.48
  6. Step 6: Final answer
    x = 164,644.76

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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.