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Finding the Fourth Proportional to 210,057.72, 289,876.12 and 114,558.72

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Solution

The fourth proportional to 210,057.72, 289,876.12 and 114,558.72 is: 158,089.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,057.72 : 289,876.12 = 114,558.72 : x
  2. Step 2: Convert to fraction form
    210,057.72/289,876.12 = 114,558.72/x
  3. Step 3: Cross multiply
    210,057.72x = 289,876.12 × 114,558.72
  4. Step 4: Simplify right side
    210,057.72x = 33,207,837,265.77
  5. Step 5: Solve for x
    x = 33,207,837,265.77/210,057.72
  6. Step 6: Final answer
    x = 158,089.11

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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.