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Finding the Fourth Proportional to 190,115.91, 285,075.45 and 101,345.58

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Solution

The fourth proportional to 190,115.91, 285,075.45 and 101,345.58 is: 151,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,115.91 : 285,075.45 = 101,345.58 : x
  2. Step 2: Convert to fraction form
    190,115.91/285,075.45 = 101,345.58/x
  3. Step 3: Cross multiply
    190,115.91x = 285,075.45 × 101,345.58
  4. Step 4: Simplify right side
    190,115.91x = 28,891,136,824.01
  5. Step 5: Solve for x
    x = 28,891,136,824.01/190,115.91
  6. Step 6: Final answer
    x = 151,965.91

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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.