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Finding the Fourth Proportional to 142,314, 196,376.31 and 78,643.14

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Solution

The fourth proportional to 142,314, 196,376.31 and 78,643.14 is: 108,518.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,314 : 196,376.31 = 78,643.14 : x
  2. Step 2: Convert to fraction form
    142,314/196,376.31 = 78,643.14/x
  3. Step 3: Cross multiply
    142,314x = 196,376.31 × 78,643.14
  4. Step 4: Simplify right side
    142,314x = 15,443,649,640.01
  5. Step 5: Solve for x
    x = 15,443,649,640.01/142,314
  6. Step 6: Final answer
    x = 108,518.13

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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.