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Finding the Fourth Proportional to 210,209.50, 315,051.82 and 105,058.54

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Solution

The fourth proportional to 210,209.50, 315,051.82 and 105,058.54 is: 157,456.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,209.50 : 315,051.82 = 105,058.54 : x
  2. Step 2: Convert to fraction form
    210,209.50/315,051.82 = 105,058.54/x
  3. Step 3: Cross multiply
    210,209.50x = 315,051.82 × 105,058.54
  4. Step 4: Simplify right side
    210,209.50x = 33,098,884,233.54
  5. Step 5: Solve for x
    x = 33,098,884,233.54/210,209.50
  6. Step 6: Final answer
    x = 157,456.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.