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Finding the Fourth Proportional to 210,363.85, 315,294.81 and 121,429.45

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Solution

The fourth proportional to 210,363.85, 315,294.81 and 121,429.45 is: 181,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,363.85 : 315,294.81 = 121,429.45 : x
  2. Step 2: Convert to fraction form
    210,363.85/315,294.81 = 121,429.45/x
  3. Step 3: Cross multiply
    210,363.85x = 315,294.81 × 121,429.45
  4. Step 4: Simplify right side
    210,363.85x = 38,286,075,366.15
  5. Step 5: Solve for x
    x = 38,286,075,366.15/210,363.85
  6. Step 6: Final answer
    x = 181,999.31

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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.