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Finding the Fourth Proportional to 140,503.79, 210,824.89 and 65,613.05

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Solution

The fourth proportional to 140,503.79, 210,824.89 and 65,613.05 is: 98,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,503.79 : 210,824.89 = 65,613.05 : x
  2. Step 2: Convert to fraction form
    140,503.79/210,824.89 = 65,613.05/x
  3. Step 3: Cross multiply
    140,503.79x = 210,824.89 × 65,613.05
  4. Step 4: Simplify right side
    140,503.79x = 13,832,864,048.81
  5. Step 5: Solve for x
    x = 13,832,864,048.81/140,503.79
  6. Step 6: Final answer
    x = 98,451.89

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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.