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Finding the Fourth Proportional to 142,054.29, 196,036.07 and 77,524.04

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Solution

The fourth proportional to 142,054.29, 196,036.07 and 77,524.04 is: 106,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,054.29 : 196,036.07 = 77,524.04 : x
  2. Step 2: Convert to fraction form
    142,054.29/196,036.07 = 77,524.04/x
  3. Step 3: Cross multiply
    142,054.29x = 196,036.07 × 77,524.04
  4. Step 4: Simplify right side
    142,054.29x = 15,197,506,764.32
  5. Step 5: Solve for x
    x = 15,197,506,764.32/142,054.29
  6. Step 6: Final answer
    x = 106,983.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.