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Finding the Fourth Proportional to 243,394, 335,883.72 and 137,410

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Solution

The fourth proportional to 243,394, 335,883.72 and 137,410 is: 189,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,394 : 335,883.72 = 137,410 : x
  2. Step 2: Convert to fraction form
    243,394/335,883.72 = 137,410/x
  3. Step 3: Cross multiply
    243,394x = 335,883.72 × 137,410
  4. Step 4: Simplify right side
    243,394x = 46,153,781,965.20
  5. Step 5: Solve for x
    x = 46,153,781,965.20/243,394
  6. Step 6: Final answer
    x = 189,625.80

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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.