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Finding the Fourth Proportional to 252,534.84, 348,505.42 and 137,820.86

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Solution

The fourth proportional to 252,534.84, 348,505.42 and 137,820.86 is: 190,196.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,534.84 : 348,505.42 = 137,820.86 : x
  2. Step 2: Convert to fraction form
    252,534.84/348,505.42 = 137,820.86/x
  3. Step 3: Cross multiply
    252,534.84x = 348,505.42 × 137,820.86
  4. Step 4: Simplify right side
    252,534.84x = 48,031,316,322.65
  5. Step 5: Solve for x
    x = 48,031,316,322.65/252,534.84
  6. Step 6: Final answer
    x = 190,196.79

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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.