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Finding the Fourth Proportional to 229,904.92, 344,740.74 and 105,139

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Solution

The fourth proportional to 229,904.92, 344,740.74 and 105,139 is: 157,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,904.92 : 344,740.74 = 105,139 : x
  2. Step 2: Convert to fraction form
    229,904.92/344,740.74 = 105,139/x
  3. Step 3: Cross multiply
    229,904.92x = 344,740.74 × 105,139
  4. Step 4: Simplify right side
    229,904.92x = 36,245,696,662.86
  5. Step 5: Solve for x
    x = 36,245,696,662.86/229,904.92
  6. Step 6: Final answer
    x = 157,655.16

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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.