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Finding the Fourth Proportional to 257,101.40, 385,536.90 and 99,277.40

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Solution

The fourth proportional to 257,101.40, 385,536.90 and 99,277.40 is: 148,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,101.40 : 385,536.90 = 99,277.40 : x
  2. Step 2: Convert to fraction form
    257,101.40/385,536.90 = 99,277.40/x
  3. Step 3: Cross multiply
    257,101.40x = 385,536.90 × 99,277.40
  4. Step 4: Simplify right side
    257,101.40x = 38,275,101,036.06
  5. Step 5: Solve for x
    x = 38,275,101,036.06/257,101.40
  6. Step 6: Final answer
    x = 148,871.62

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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.