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Finding the Fourth Proportional to 210,535.83, 290,539.80 and 115,040.48

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Solution

The fourth proportional to 210,535.83, 290,539.80 and 115,040.48 is: 158,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,535.83 : 290,539.80 = 115,040.48 : x
  2. Step 2: Convert to fraction form
    210,535.83/290,539.80 = 115,040.48/x
  3. Step 3: Cross multiply
    210,535.83x = 290,539.80 × 115,040.48
  4. Step 4: Simplify right side
    210,535.83x = 33,423,836,598.41
  5. Step 5: Solve for x
    x = 33,423,836,598.41/210,535.83
  6. Step 6: Final answer
    x = 158,756.05

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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.