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Finding the Fourth Proportional to 103,669, 143,080.50 and 78,474.76

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Solution

The fourth proportional to 103,669, 143,080.50 and 78,474.76 is: 108,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,669 : 143,080.50 = 78,474.76 : x
  2. Step 2: Convert to fraction form
    103,669/143,080.50 = 78,474.76/x
  3. Step 3: Cross multiply
    103,669x = 143,080.50 × 78,474.76
  4. Step 4: Simplify right side
    103,669x = 11,228,207,898.18
  5. Step 5: Solve for x
    x = 11,228,207,898.18/103,669
  6. Step 6: Final answer
    x = 108,308.25

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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.