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Finding the Fourth Proportional to 56,292, 77,676.24 and 31,138.08

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Solution

The fourth proportional to 56,292, 77,676.24 and 31,138.08 is: 42,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,292 : 77,676.24 = 31,138.08 : x
  2. Step 2: Convert to fraction form
    56,292/77,676.24 = 31,138.08/x
  3. Step 3: Cross multiply
    56,292x = 77,676.24 × 31,138.08
  4. Step 4: Simplify right side
    56,292x = 2,418,688,975.22
  5. Step 5: Solve for x
    x = 2,418,688,975.22/56,292
  6. Step 6: Final answer
    x = 42,966.83

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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.