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Finding the Fourth Proportional to 261,915.81, 361,446.35 and 148,739.37

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Solution

The fourth proportional to 261,915.81, 361,446.35 and 148,739.37 is: 205,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,915.81 : 361,446.35 = 148,739.37 : x
  2. Step 2: Convert to fraction form
    261,915.81/361,446.35 = 148,739.37/x
  3. Step 3: Cross multiply
    261,915.81x = 361,446.35 × 148,739.37
  4. Step 4: Simplify right side
    261,915.81x = 53,761,301,644.10
  5. Step 5: Solve for x
    x = 53,761,301,644.10/261,915.81
  6. Step 6: Final answer
    x = 205,261.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.