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Finding the Fourth Proportional to 56,854, 78,460.14 and 31,705.12

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Solution

The fourth proportional to 56,854, 78,460.14 and 31,705.12 is: 43,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,854 : 78,460.14 = 31,705.12 : x
  2. Step 2: Convert to fraction form
    56,854/78,460.14 = 31,705.12/x
  3. Step 3: Cross multiply
    56,854x = 78,460.14 × 31,705.12
  4. Step 4: Simplify right side
    56,854x = 2,487,588,153.92
  5. Step 5: Solve for x
    x = 2,487,588,153.92/56,854
  6. Step 6: Final answer
    x = 43,753.97

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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.