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Finding the Fourth Proportional to 105,357, 145,392.66 and 60,645

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Solution

The fourth proportional to 105,357, 145,392.66 and 60,645 is: 83,690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,357 : 145,392.66 = 60,645 : x
  2. Step 2: Convert to fraction form
    105,357/145,392.66 = 60,645/x
  3. Step 3: Cross multiply
    105,357x = 145,392.66 × 60,645
  4. Step 4: Simplify right side
    105,357x = 8,817,337,865.70
  5. Step 5: Solve for x
    x = 8,817,337,865.70/105,357
  6. Step 6: Final answer
    x = 83,690.10

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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.