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Finding the Fourth Proportional to 144,005.65, 215,985.69 and 49,235.65

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Solution

The fourth proportional to 144,005.65, 215,985.69 and 49,235.65 is: 73,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,005.65 : 215,985.69 = 49,235.65 : x
  2. Step 2: Convert to fraction form
    144,005.65/215,985.69 = 49,235.65/x
  3. Step 3: Cross multiply
    144,005.65x = 215,985.69 × 49,235.65
  4. Step 4: Simplify right side
    144,005.65x = 10,634,195,297.88
  5. Step 5: Solve for x
    x = 10,634,195,297.88/144,005.65
  6. Step 6: Final answer
    x = 73,845.68

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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.