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Finding the Fourth Proportional to 194,645.84, 291,636.54 and 105,740.13

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Solution

The fourth proportional to 194,645.84, 291,636.54 and 105,740.13 is: 158,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,645.84 : 291,636.54 = 105,740.13 : x
  2. Step 2: Convert to fraction form
    194,645.84/291,636.54 = 105,740.13/x
  3. Step 3: Cross multiply
    194,645.84x = 291,636.54 × 105,740.13
  4. Step 4: Simplify right side
    194,645.84x = 30,837,685,652.35
  5. Step 5: Solve for x
    x = 30,837,685,652.35/194,645.84
  6. Step 6: Final answer
    x = 158,429.72

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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.