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Finding the Fourth Proportional to 77,575.62, 116,361.10 and 21,419.16

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Solution

The fourth proportional to 77,575.62, 116,361.10 and 21,419.16 is: 32,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,575.62 : 116,361.10 = 21,419.16 : x
  2. Step 2: Convert to fraction form
    77,575.62/116,361.10 = 21,419.16/x
  3. Step 3: Cross multiply
    77,575.62x = 116,361.10 × 21,419.16
  4. Step 4: Simplify right side
    77,575.62x = 2,492,357,018.68
  5. Step 5: Solve for x
    x = 2,492,357,018.68/77,575.62
  6. Step 6: Final answer
    x = 32,128.10

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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.