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Finding the Fourth Proportional to 65,117.70, 97,643.73 and 31,787.82

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Solution

The fourth proportional to 65,117.70, 97,643.73 and 31,787.82 is: 47,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,117.70 : 97,643.73 = 31,787.82 : x
  2. Step 2: Convert to fraction form
    65,117.70/97,643.73 = 31,787.82/x
  3. Step 3: Cross multiply
    65,117.70x = 97,643.73 × 31,787.82
  4. Step 4: Simplify right side
    65,117.70x = 3,103,881,313.37
  5. Step 5: Solve for x
    x = 3,103,881,313.37/65,117.70
  6. Step 6: Final answer
    x = 47,665.71

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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.