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Finding the Fourth Proportional to 186,345.42, 257,157.30 and 101,463

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Solution

The fourth proportional to 186,345.42, 257,157.30 and 101,463 is: 140,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,345.42 : 257,157.30 = 101,463 : x
  2. Step 2: Convert to fraction form
    186,345.42/257,157.30 = 101,463/x
  3. Step 3: Cross multiply
    186,345.42x = 257,157.30 × 101,463
  4. Step 4: Simplify right side
    186,345.42x = 26,091,951,129.90
  5. Step 5: Solve for x
    x = 26,091,951,129.90/186,345.42
  6. Step 6: Final answer
    x = 140,019.28

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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.