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Finding the Fourth Proportional to 158,574.96, 218,948.29 and 102,084.75

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Solution

The fourth proportional to 158,574.96, 218,948.29 and 102,084.75 is: 140,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,574.96 : 218,948.29 = 102,084.75 : x
  2. Step 2: Convert to fraction form
    158,574.96/218,948.29 = 102,084.75/x
  3. Step 3: Cross multiply
    158,574.96x = 218,948.29 × 102,084.75
  4. Step 4: Simplify right side
    158,574.96x = 22,351,281,192.37
  5. Step 5: Solve for x
    x = 22,351,281,192.37/158,574.96
  6. Step 6: Final answer
    x = 140,950.89

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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.