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Finding the Fourth Proportional to 243,729, 336,343.19 and 136,298.03

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Solution

The fourth proportional to 243,729, 336,343.19 and 136,298.03 is: 188,089.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,729 : 336,343.19 = 136,298.03 : x
  2. Step 2: Convert to fraction form
    243,729/336,343.19 = 136,298.03/x
  3. Step 3: Cross multiply
    243,729x = 336,343.19 × 136,298.03
  4. Step 4: Simplify right side
    243,729x = 45,842,911,837.71
  5. Step 5: Solve for x
    x = 45,842,911,837.71/243,729
  6. Step 6: Final answer
    x = 188,089.69

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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.