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Finding the Fourth Proportional to 217,038.40, 325,298.40 and 111,803.20

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Solution

The fourth proportional to 217,038.40, 325,298.40 and 111,803.20 is: 167,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,038.40 : 325,298.40 = 111,803.20 : x
  2. Step 2: Convert to fraction form
    217,038.40/325,298.40 = 111,803.20/x
  3. Step 3: Cross multiply
    217,038.40x = 325,298.40 × 111,803.20
  4. Step 4: Simplify right side
    217,038.40x = 36,369,402,074.88
  5. Step 5: Solve for x
    x = 36,369,402,074.88/217,038.40
  6. Step 6: Final answer
    x = 167,571.28

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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.