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Finding the Fourth Proportional to 189,243, 261,159.12 and 122,291.64

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Solution

The fourth proportional to 189,243, 261,159.12 and 122,291.64 is: 168,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,243 : 261,159.12 = 122,291.64 : x
  2. Step 2: Convert to fraction form
    189,243/261,159.12 = 122,291.64/x
  3. Step 3: Cross multiply
    189,243x = 261,159.12 × 122,291.64
  4. Step 4: Simplify right side
    189,243x = 31,937,577,085.76
  5. Step 5: Solve for x
    x = 31,937,577,085.76/189,243
  6. Step 6: Final answer
    x = 168,764.91

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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.