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Finding the Fourth Proportional to 258,533.10, 387,811.80 and 81,045.90

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Solution

The fourth proportional to 258,533.10, 387,811.80 and 81,045.90 is: 121,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,533.10 : 387,811.80 = 81,045.90 : x
  2. Step 2: Convert to fraction form
    258,533.10/387,811.80 = 81,045.90/x
  3. Step 3: Cross multiply
    258,533.10x = 387,811.80 × 81,045.90
  4. Step 4: Simplify right side
    258,533.10x = 31,430,556,361.62
  5. Step 5: Solve for x
    x = 31,430,556,361.62/258,533.10
  6. Step 6: Final answer
    x = 121,572.66

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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.