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Finding the Fourth Proportional to 233,214.76, 321,860.85 and 137,730.34

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Solution

The fourth proportional to 233,214.76, 321,860.85 and 137,730.34 is: 190,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214.76 : 321,860.85 = 137,730.34 : x
  2. Step 2: Convert to fraction form
    233,214.76/321,860.85 = 137,730.34/x
  3. Step 3: Cross multiply
    233,214.76x = 321,860.85 × 137,730.34
  4. Step 4: Simplify right side
    233,214.76x = 44,330,004,303.19
  5. Step 5: Solve for x
    x = 44,330,004,303.19/233,214.76
  6. Step 6: Final answer
    x = 190,082.33

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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.