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Finding the Fourth Proportional to 78,035.54, 116,955.98 and 35,870.78

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Solution

The fourth proportional to 78,035.54, 116,955.98 and 35,870.78 is: 53,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,035.54 : 116,955.98 = 35,870.78 : x
  2. Step 2: Convert to fraction form
    78,035.54/116,955.98 = 35,870.78/x
  3. Step 3: Cross multiply
    78,035.54x = 116,955.98 × 35,870.78
  4. Step 4: Simplify right side
    78,035.54x = 4,195,302,228.26
  5. Step 5: Solve for x
    x = 4,195,302,228.26/78,035.54
  6. Step 6: Final answer
    x = 53,761.43

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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.