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Finding the Fourth Proportional to 252,713.42, 348,746.20 and 137,992.86

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Solution

The fourth proportional to 252,713.42, 348,746.20 and 137,992.86 is: 190,431.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,713.42 : 348,746.20 = 137,992.86 : x
  2. Step 2: Convert to fraction form
    252,713.42/348,746.20 = 137,992.86/x
  3. Step 3: Cross multiply
    252,713.42x = 348,746.20 × 137,992.86
  4. Step 4: Simplify right side
    252,713.42x = 48,124,483,808.40
  5. Step 5: Solve for x
    x = 48,124,483,808.40/252,713.42
  6. Step 6: Final answer
    x = 190,431.06

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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.