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Finding the Fourth Proportional to 142,129.40, 196,135.40 and 77,596.42

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Solution

The fourth proportional to 142,129.40, 196,135.40 and 77,596.42 is: 107,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,129.40 : 196,135.40 = 77,596.42 : x
  2. Step 2: Convert to fraction form
    142,129.40/196,135.40 = 77,596.42/x
  3. Step 3: Cross multiply
    142,129.40x = 196,135.40 × 77,596.42
  4. Step 4: Simplify right side
    142,129.40x = 15,219,404,875.27
  5. Step 5: Solve for x
    x = 15,219,404,875.27/142,129.40
  6. Step 6: Final answer
    x = 107,081.33

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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.