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Finding the Fourth Proportional to 142,416, 196,530.84 and 78,754.32

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Solution

The fourth proportional to 142,416, 196,530.84 and 78,754.32 is: 108,679.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,416 : 196,530.84 = 78,754.32 : x
  2. Step 2: Convert to fraction form
    142,416/196,530.84 = 78,754.32/x
  3. Step 3: Cross multiply
    142,416x = 196,530.84 × 78,754.32
  4. Step 4: Simplify right side
    142,416x = 15,477,652,663.23
  5. Step 5: Solve for x
    x = 15,477,652,663.23/142,416
  6. Step 6: Final answer
    x = 108,679.17

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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.