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Finding the Fourth Proportional to 172,225.81, 258,502.29 and 105,795.69

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Solution

The fourth proportional to 172,225.81, 258,502.29 and 105,795.69 is: 158,794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,225.81 : 258,502.29 = 105,795.69 : x
  2. Step 2: Convert to fraction form
    172,225.81/258,502.29 = 105,795.69/x
  3. Step 3: Cross multiply
    172,225.81x = 258,502.29 × 105,795.69
  4. Step 4: Simplify right side
    172,225.81x = 27,348,426,771.01
  5. Step 5: Solve for x
    x = 27,348,426,771.01/172,225.81
  6. Step 6: Final answer
    x = 158,794.01

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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.