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Finding the Fourth Proportional to 137,937, 190,353.24 and 78,321

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Solution

The fourth proportional to 137,937, 190,353.24 and 78,321 is: 108,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,937 : 190,353.24 = 78,321 : x
  2. Step 2: Convert to fraction form
    137,937/190,353.24 = 78,321/x
  3. Step 3: Cross multiply
    137,937x = 190,353.24 × 78,321
  4. Step 4: Simplify right side
    137,937x = 14,908,656,110.04
  5. Step 5: Solve for x
    x = 14,908,656,110.04/137,937
  6. Step 6: Final answer
    x = 108,083.08

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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.