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Finding the Fourth Proportional to 257,158.42, 385,773.80 and 107,364.63

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Solution

The fourth proportional to 257,158.42, 385,773.80 and 107,364.63 is: 161,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,158.42 : 385,773.80 = 107,364.63 : x
  2. Step 2: Convert to fraction form
    257,158.42/385,773.80 = 107,364.63/x
  3. Step 3: Cross multiply
    257,158.42x = 385,773.80 × 107,364.63
  4. Step 4: Simplify right side
    257,158.42x = 41,418,462,210.52
  5. Step 5: Solve for x
    x = 41,418,462,210.52/257,158.42
  6. Step 6: Final answer
    x = 161,062.05

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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.