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Finding the Fourth Proportional to 210,656.80, 290,709.84 and 125,781.28

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Solution

The fourth proportional to 210,656.80, 290,709.84 and 125,781.28 is: 173,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,656.80 : 290,709.84 = 125,781.28 : x
  2. Step 2: Convert to fraction form
    210,656.80/290,709.84 = 125,781.28/x
  3. Step 3: Cross multiply
    210,656.80x = 290,709.84 × 125,781.28
  4. Step 4: Simplify right side
    210,656.80x = 36,565,855,783.80
  5. Step 5: Solve for x
    x = 36,565,855,783.80/210,656.80
  6. Step 6: Final answer
    x = 173,580.23

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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.