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Finding the Fourth Proportional to 317,056.16, 475,577.16 and 77,171.09

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Solution

The fourth proportional to 317,056.16, 475,577.16 and 77,171.09 is: 115,754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,056.16 : 475,577.16 = 77,171.09 : x
  2. Step 2: Convert to fraction form
    317,056.16/475,577.16 = 77,171.09/x
  3. Step 3: Cross multiply
    317,056.16x = 475,577.16 × 77,171.09
  4. Step 4: Simplify right side
    317,056.16x = 36,700,805,438.42
  5. Step 5: Solve for x
    x = 36,700,805,438.42/317,056.16
  6. Step 6: Final answer
    x = 115,754.91

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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.