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Finding the Fourth Proportional to 137,953, 206,929.50 and 39,457

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Solution

The fourth proportional to 137,953, 206,929.50 and 39,457 is: 59,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,953 : 206,929.50 = 39,457 : x
  2. Step 2: Convert to fraction form
    137,953/206,929.50 = 39,457/x
  3. Step 3: Cross multiply
    137,953x = 206,929.50 × 39,457
  4. Step 4: Simplify right side
    137,953x = 8,164,817,281.50
  5. Step 5: Solve for x
    x = 8,164,817,281.50/137,953
  6. Step 6: Final answer
    x = 59,185.50

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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.