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Finding the Fourth Proportional to 189,768, 261,810.60 and 146,173.76

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Solution

The fourth proportional to 189,768, 261,810.60 and 146,173.76 is: 201,666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,768 : 261,810.60 = 146,173.76 : x
  2. Step 2: Convert to fraction form
    189,768/261,810.60 = 146,173.76/x
  3. Step 3: Cross multiply
    189,768x = 261,810.60 × 146,173.76
  4. Step 4: Simplify right side
    189,768x = 38,269,839,809.86
  5. Step 5: Solve for x
    x = 38,269,839,809.86/189,768
  6. Step 6: Final answer
    x = 201,666.45

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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.