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Finding the Fourth Proportional to 189,491.76, 261,497.01 and 104,607

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Solution

The fourth proportional to 189,491.76, 261,497.01 and 104,607 is: 144,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,491.76 : 261,497.01 = 104,607 : x
  2. Step 2: Convert to fraction form
    189,491.76/261,497.01 = 104,607/x
  3. Step 3: Cross multiply
    189,491.76x = 261,497.01 × 104,607
  4. Step 4: Simplify right side
    189,491.76x = 27,354,417,725.07
  5. Step 5: Solve for x
    x = 27,354,417,725.07/189,491.76
  6. Step 6: Final answer
    x = 144,356.77

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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.