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Finding the Fourth Proportional to 210,270, 290,161.80 and 114,758.40

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Solution

The fourth proportional to 210,270, 290,161.80 and 114,758.40 is: 158,360.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,270 : 290,161.80 = 114,758.40 : x
  2. Step 2: Convert to fraction form
    210,270/290,161.80 = 114,758.40/x
  3. Step 3: Cross multiply
    210,270x = 290,161.80 × 114,758.40
  4. Step 4: Simplify right side
    210,270x = 33,298,503,909.12
  5. Step 5: Solve for x
    x = 33,298,503,909.12/210,270
  6. Step 6: Final answer
    x = 158,360.70

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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.