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Finding the Fourth Proportional to 230,011.40, 344,914.70 and 105,390.60

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Solution

The fourth proportional to 230,011.40, 344,914.70 and 105,390.60 is: 158,038.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,011.40 : 344,914.70 = 105,390.60 : x
  2. Step 2: Convert to fraction form
    230,011.40/344,914.70 = 105,390.60/x
  3. Step 3: Cross multiply
    230,011.40x = 344,914.70 × 105,390.60
  4. Step 4: Simplify right side
    230,011.40x = 36,350,767,181.82
  5. Step 5: Solve for x
    x = 36,350,767,181.82/230,011.40
  6. Step 6: Final answer
    x = 158,038.98

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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.