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Finding the Fourth Proportional to 105,666.97, 145,960.17 and 78,762.77

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Solution

The fourth proportional to 105,666.97, 145,960.17 and 78,762.77 is: 108,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,666.97 : 145,960.17 = 78,762.77 : x
  2. Step 2: Convert to fraction form
    105,666.97/145,960.17 = 78,762.77/x
  3. Step 3: Cross multiply
    105,666.97x = 145,960.17 × 78,762.77
  4. Step 4: Simplify right side
    105,666.97x = 11,496,227,298.87
  5. Step 5: Solve for x
    x = 11,496,227,298.87/105,666.97
  6. Step 6: Final answer
    x = 108,796.79

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1.5x scale

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.