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Finding the Fourth Proportional to 243,050.13, 364,659.08 and 100,971.72

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Solution

The fourth proportional to 243,050.13, 364,659.08 and 100,971.72 is: 151,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,050.13 : 364,659.08 = 100,971.72 : x
  2. Step 2: Convert to fraction form
    243,050.13/364,659.08 = 100,971.72/x
  3. Step 3: Cross multiply
    243,050.13x = 364,659.08 × 100,971.72
  4. Step 4: Simplify right side
    243,050.13x = 36,820,254,016.36
  5. Step 5: Solve for x
    x = 36,820,254,016.36/243,050.13
  6. Step 6: Final answer
    x = 151,492.43

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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.