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Finding the Fourth Proportional to 255,038.04, 382,502.39 and 105,239.48

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Solution

The fourth proportional to 255,038.04, 382,502.39 and 105,239.48 is: 157,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,038.04 : 382,502.39 = 105,239.48 : x
  2. Step 2: Convert to fraction form
    255,038.04/382,502.39 = 105,239.48/x
  3. Step 3: Cross multiply
    255,038.04x = 382,502.39 × 105,239.48
  4. Step 4: Simplify right side
    255,038.04x = 40,254,350,183.65
  5. Step 5: Solve for x
    x = 40,254,350,183.65/255,038.04
  6. Step 6: Final answer
    x = 157,836.65

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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.