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Finding the Fourth Proportional to 317,010.64, 475,511.16 and 77,126.80

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Solution

The fourth proportional to 317,010.64, 475,511.16 and 77,126.80 is: 115,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,010.64 : 475,511.16 = 77,126.80 : x
  2. Step 2: Convert to fraction form
    317,010.64/475,511.16 = 77,126.80/x
  3. Step 3: Cross multiply
    317,010.64x = 475,511.16 × 77,126.80
  4. Step 4: Simplify right side
    317,010.64x = 36,674,654,135.09
  5. Step 5: Solve for x
    x = 36,674,654,135.09/317,010.64
  6. Step 6: Final answer
    x = 115,689.03

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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.