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Finding the Fourth Proportional to 258,374.60, 387,536.83 and 78,461.58

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Solution

The fourth proportional to 258,374.60, 387,536.83 and 78,461.58 is: 117,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,374.60 : 387,536.83 = 78,461.58 : x
  2. Step 2: Convert to fraction form
    258,374.60/387,536.83 = 78,461.58/x
  3. Step 3: Cross multiply
    258,374.60x = 387,536.83 × 78,461.58
  4. Step 4: Simplify right side
    258,374.60x = 30,406,751,989.99
  5. Step 5: Solve for x
    x = 30,406,751,989.99/258,374.60
  6. Step 6: Final answer
    x = 117,684.76

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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.