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Finding the Fourth Proportional to 209,538.72, 289,502.28 and 146,159.64

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Solution

The fourth proportional to 209,538.72, 289,502.28 and 146,159.64 is: 201,936.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,538.72 : 289,502.28 = 146,159.64 : x
  2. Step 2: Convert to fraction form
    209,538.72/289,502.28 = 146,159.64/x
  3. Step 3: Cross multiply
    209,538.72x = 289,502.28 × 146,159.64
  4. Step 4: Simplify right side
    209,538.72x = 42,313,549,023.98
  5. Step 5: Solve for x
    x = 42,313,549,023.98/209,538.72
  6. Step 6: Final answer
    x = 201,936.66

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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.