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Finding the Fourth Proportional to 258,658.10, 387,874.05 and 130,495.54

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Solution

The fourth proportional to 258,658.10, 387,874.05 and 130,495.54 is: 195,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,658.10 : 387,874.05 = 130,495.54 : x
  2. Step 2: Convert to fraction form
    258,658.10/387,874.05 = 130,495.54/x
  3. Step 3: Cross multiply
    258,658.10x = 387,874.05 × 130,495.54
  4. Step 4: Simplify right side
    258,658.10x = 50,615,833,606.74
  5. Step 5: Solve for x
    x = 50,615,833,606.74/258,658.10
  6. Step 6: Final answer
    x = 195,686.25

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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.