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Finding the Fourth Proportional to 210,041.65, 289,845.93 and 119,385.01

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Solution

The fourth proportional to 210,041.65, 289,845.93 and 119,385.01 is: 164,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,041.65 : 289,845.93 = 119,385.01 : x
  2. Step 2: Convert to fraction form
    210,041.65/289,845.93 = 119,385.01/x
  3. Step 3: Cross multiply
    210,041.65x = 289,845.93 × 119,385.01
  4. Step 4: Simplify right side
    210,041.65x = 34,603,259,251.51
  5. Step 5: Solve for x
    x = 34,603,259,251.51/210,041.65
  6. Step 6: Final answer
    x = 164,744.75

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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.