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Finding the Fourth Proportional to 285,847.48, 428,771.76 and 86,225.01

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Solution

The fourth proportional to 285,847.48, 428,771.76 and 86,225.01 is: 129,337.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,847.48 : 428,771.76 = 86,225.01 : x
  2. Step 2: Convert to fraction form
    285,847.48/428,771.76 = 86,225.01/x
  3. Step 3: Cross multiply
    285,847.48x = 428,771.76 × 86,225.01
  4. Step 4: Simplify right side
    285,847.48x = 36,970,849,293.72
  5. Step 5: Solve for x
    x = 36,970,849,293.72/285,847.48
  6. Step 6: Final answer
    x = 129,337.68

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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.