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Finding the Fourth Proportional to 243,090, 364,011.24 and 168,106.68

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Solution

The fourth proportional to 243,090, 364,011.24 and 168,106.68 is: 251,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,090 : 364,011.24 = 168,106.68 : x
  2. Step 2: Convert to fraction form
    243,090/364,011.24 = 168,106.68/x
  3. Step 3: Cross multiply
    243,090x = 364,011.24 × 168,106.68
  4. Step 4: Simplify right side
    243,090x = 61,192,721,039.08
  5. Step 5: Solve for x
    x = 61,192,721,039.08/243,090
  6. Step 6: Final answer
    x = 251,728.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.