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Finding the Fourth Proportional to 78,803.60, 108,749 and 50,509.30

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Solution

The fourth proportional to 78,803.60, 108,749 and 50,509.30 is: 69,702.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,803.60 : 108,749 = 50,509.30 : x
  2. Step 2: Convert to fraction form
    78,803.60/108,749 = 50,509.30/x
  3. Step 3: Cross multiply
    78,803.60x = 108,749 × 50,509.30
  4. Step 4: Simplify right side
    78,803.60x = 5,492,835,865.70
  5. Step 5: Solve for x
    x = 5,492,835,865.70/78,803.60
  6. Step 6: Final answer
    x = 69,702.85

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1.5x scale

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.