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Finding the Fourth Proportional to 261,712.80, 361,134.96 and 146,968.20

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Solution

The fourth proportional to 261,712.80, 361,134.96 and 146,968.20 is: 202,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,712.80 : 361,134.96 = 146,968.20 : x
  2. Step 2: Convert to fraction form
    261,712.80/361,134.96 = 146,968.20/x
  3. Step 3: Cross multiply
    261,712.80x = 361,134.96 × 146,968.20
  4. Step 4: Simplify right side
    261,712.80x = 53,075,355,028.27
  5. Step 5: Solve for x
    x = 53,075,355,028.27/261,712.80
  6. Step 6: Final answer
    x = 202,800.00

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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.