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Finding the Fourth Proportional to 140,630.48, 210,945.40 and 35,457.68

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Solution

The fourth proportional to 140,630.48, 210,945.40 and 35,457.68 is: 53,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,630.48 : 210,945.40 = 35,457.68 : x
  2. Step 2: Convert to fraction form
    140,630.48/210,945.40 = 35,457.68/x
  3. Step 3: Cross multiply
    140,630.48x = 210,945.40 × 35,457.68
  4. Step 4: Simplify right side
    140,630.48x = 7,479,634,490.67
  5. Step 5: Solve for x
    x = 7,479,634,490.67/140,630.48
  6. Step 6: Final answer
    x = 53,186.44

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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.