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Finding the Fourth Proportional to 105,209, 145,192.74 and 60,497

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Solution

The fourth proportional to 105,209, 145,192.74 and 60,497 is: 83,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,209 : 145,192.74 = 60,497 : x
  2. Step 2: Convert to fraction form
    105,209/145,192.74 = 60,497/x
  3. Step 3: Cross multiply
    105,209x = 145,192.74 × 60,497
  4. Step 4: Simplify right side
    105,209x = 8,783,725,191.78
  5. Step 5: Solve for x
    x = 8,783,725,191.78/105,209
  6. Step 6: Final answer
    x = 83,488.34

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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.