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Finding the Fourth Proportional to 265,143, 365,897.40 and 145,911

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Solution

The fourth proportional to 265,143, 365,897.40 and 145,911 is: 201,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,143 : 365,897.40 = 145,911 : x
  2. Step 2: Convert to fraction form
    265,143/365,897.40 = 145,911/x
  3. Step 3: Cross multiply
    265,143x = 365,897.40 × 145,911
  4. Step 4: Simplify right side
    265,143x = 53,388,455,531.40
  5. Step 5: Solve for x
    x = 53,388,455,531.40/265,143
  6. Step 6: Final answer
    x = 201,357.21

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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.