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Finding the Fourth Proportional to 257,075.34, 385,608.90 and 70,086.84

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Solution

The fourth proportional to 257,075.34, 385,608.90 and 70,086.84 is: 105,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,075.34 : 385,608.90 = 70,086.84 : x
  2. Step 2: Convert to fraction form
    257,075.34/385,608.90 = 70,086.84/x
  3. Step 3: Cross multiply
    257,075.34x = 385,608.90 × 70,086.84
  4. Step 4: Simplify right side
    257,075.34x = 27,026,109,276.88
  5. Step 5: Solve for x
    x = 27,026,109,276.88/257,075.34
  6. Step 6: Final answer
    x = 105,129.14

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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.