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Finding the Fourth Proportional to 258,486.60, 387,730.52 and 78,573.68

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Solution

The fourth proportional to 258,486.60, 387,730.52 and 78,573.68 is: 117,860.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,486.60 : 387,730.52 = 78,573.68 : x
  2. Step 2: Convert to fraction form
    258,486.60/387,730.52 = 78,573.68/x
  3. Step 3: Cross multiply
    258,486.60x = 387,730.52 × 78,573.68
  4. Step 4: Simplify right side
    258,486.60x = 30,465,413,804.71
  5. Step 5: Solve for x
    x = 30,465,413,804.71/258,486.60
  6. Step 6: Final answer
    x = 117,860.71

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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.