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Finding the Fourth Proportional to 105,885.65, 146,129.87 and 70,013.45

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Solution

The fourth proportional to 105,885.65, 146,129.87 and 70,013.45 is: 96,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,885.65 : 146,129.87 = 70,013.45 : x
  2. Step 2: Convert to fraction form
    105,885.65/146,129.87 = 70,013.45/x
  3. Step 3: Cross multiply
    105,885.65x = 146,129.87 × 70,013.45
  4. Step 4: Simplify right side
    105,885.65x = 10,231,056,346.75
  5. Step 5: Solve for x
    x = 10,231,056,346.75/105,885.65
  6. Step 6: Final answer
    x = 96,623.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.