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Finding the Fourth Proportional to 243,013.68, 364,394.16 and 109,830.24

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Solution

The fourth proportional to 243,013.68, 364,394.16 and 109,830.24 is: 164,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,013.68 : 364,394.16 = 109,830.24 : x
  2. Step 2: Convert to fraction form
    243,013.68/364,394.16 = 109,830.24/x
  3. Step 3: Cross multiply
    243,013.68x = 364,394.16 × 109,830.24
  4. Step 4: Simplify right side
    243,013.68x = 40,021,498,047.40
  5. Step 5: Solve for x
    x = 40,021,498,047.40/243,013.68
  6. Step 6: Final answer
    x = 164,688.25

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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.