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Finding the Fourth Proportional to 105,122.84, 145,101.70 and 64,849.16

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Solution

The fourth proportional to 105,122.84, 145,101.70 and 64,849.16 is: 89,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,122.84 : 145,101.70 = 64,849.16 : x
  2. Step 2: Convert to fraction form
    105,122.84/145,101.70 = 64,849.16/x
  3. Step 3: Cross multiply
    105,122.84x = 145,101.70 × 64,849.16
  4. Step 4: Simplify right side
    105,122.84x = 9,409,723,359.57
  5. Step 5: Solve for x
    x = 9,409,723,359.57/105,122.84
  6. Step 6: Final answer
    x = 89,511.69

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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.