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Finding the Fourth Proportional to 78,585.46, 117,835.11 and 31,152.50

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Solution

The fourth proportional to 78,585.46, 117,835.11 and 31,152.50 is: 46,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,585.46 : 117,835.11 = 31,152.50 : x
  2. Step 2: Convert to fraction form
    78,585.46/117,835.11 = 31,152.50/x
  3. Step 3: Cross multiply
    78,585.46x = 117,835.11 × 31,152.50
  4. Step 4: Simplify right side
    78,585.46x = 3,670,858,264.28
  5. Step 5: Solve for x
    x = 3,670,858,264.28/78,585.46
  6. Step 6: Final answer
    x = 46,711.67

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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.