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Finding the Fourth Proportional to 260,681.21, 359,710.34 and 145,943.90

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Solution

The fourth proportional to 260,681.21, 359,710.34 and 145,943.90 is: 201,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,681.21 : 359,710.34 = 145,943.90 : x
  2. Step 2: Convert to fraction form
    260,681.21/359,710.34 = 145,943.90/x
  3. Step 3: Cross multiply
    260,681.21x = 359,710.34 × 145,943.90
  4. Step 4: Simplify right side
    260,681.21x = 52,497,529,160.21
  5. Step 5: Solve for x
    x = 52,497,529,160.21/260,681.21
  6. Step 6: Final answer
    x = 201,385.93

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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.