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Finding the Fourth Proportional to 74,567.64, 102,900.30 and 42,714.38

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Solution

The fourth proportional to 74,567.64, 102,900.30 and 42,714.38 is: 58,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,567.64 : 102,900.30 = 42,714.38 : x
  2. Step 2: Convert to fraction form
    74,567.64/102,900.30 = 42,714.38/x
  3. Step 3: Cross multiply
    74,567.64x = 102,900.30 × 42,714.38
  4. Step 4: Simplify right side
    74,567.64x = 4,395,322,516.31
  5. Step 5: Solve for x
    x = 4,395,322,516.31/74,567.64
  6. Step 6: Final answer
    x = 58,944.10

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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.