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Finding the Fourth Proportional to 103,716, 143,145.36 and 78,521.76

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Solution

The fourth proportional to 103,716, 143,145.36 and 78,521.76 is: 108,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,716 : 143,145.36 = 78,521.76 : x
  2. Step 2: Convert to fraction form
    103,716/143,145.36 = 78,521.76/x
  3. Step 3: Cross multiply
    103,716x = 143,145.36 × 78,521.76
  4. Step 4: Simplify right side
    103,716x = 11,240,025,603.03
  5. Step 5: Solve for x
    x = 11,240,025,603.03/103,716
  6. Step 6: Final answer
    x = 108,373.11

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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.