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Finding the Fourth Proportional to 103,670, 143,081.88 and 78,475.76

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Solution

The fourth proportional to 103,670, 143,081.88 and 78,475.76 is: 108,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,670 : 143,081.88 = 78,475.76 : x
  2. Step 2: Convert to fraction form
    103,670/143,081.88 = 78,475.76/x
  3. Step 3: Cross multiply
    103,670x = 143,081.88 × 78,475.76
  4. Step 4: Simplify right side
    103,670x = 11,228,459,275.23
  5. Step 5: Solve for x
    x = 11,228,459,275.23/103,670
  6. Step 6: Final answer
    x = 108,309.63

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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.