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Finding the Fourth Proportional to 140,670.48, 210,775.68 and 135,421.68

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Solution

The fourth proportional to 140,670.48, 210,775.68 and 135,421.68 is: 202,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,670.48 : 210,775.68 = 135,421.68 : x
  2. Step 2: Convert to fraction form
    140,670.48/210,775.68 = 135,421.68/x
  3. Step 3: Cross multiply
    140,670.48x = 210,775.68 × 135,421.68
  4. Step 4: Simplify right side
    140,670.48x = 28,543,596,688.74
  5. Step 5: Solve for x
    x = 28,543,596,688.74/140,670.48
  6. Step 6: Final answer
    x = 202,911.06

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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.