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Finding the Fourth Proportional to 142,808.94, 197,023.59 and 85,449.60

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Solution

The fourth proportional to 142,808.94, 197,023.59 and 85,449.60 is: 117,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,808.94 : 197,023.59 = 85,449.60 : x
  2. Step 2: Convert to fraction form
    142,808.94/197,023.59 = 85,449.60/x
  3. Step 3: Cross multiply
    142,808.94x = 197,023.59 × 85,449.60
  4. Step 4: Simplify right side
    142,808.94x = 16,835,586,956.06
  5. Step 5: Solve for x
    x = 16,835,586,956.06/142,808.94
  6. Step 6: Final answer
    x = 117,888.89

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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.