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Finding the Fourth Proportional to 142,101.84, 196,101.90 and 78,438.27

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Solution

The fourth proportional to 142,101.84, 196,101.90 and 78,438.27 is: 108,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,101.84 : 196,101.90 = 78,438.27 : x
  2. Step 2: Convert to fraction form
    142,101.84/196,101.90 = 78,438.27/x
  3. Step 3: Cross multiply
    142,101.84x = 196,101.90 × 78,438.27
  4. Step 4: Simplify right side
    142,101.84x = 15,381,893,779.71
  5. Step 5: Solve for x
    x = 15,381,893,779.71/142,101.84
  6. Step 6: Final answer
    x = 108,245.56

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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.