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Finding the Fourth Proportional to 105,110.61, 145,053.15 and 57,364.98

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Solution

The fourth proportional to 105,110.61, 145,053.15 and 57,364.98 is: 79,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,110.61 : 145,053.15 = 57,364.98 : x
  2. Step 2: Convert to fraction form
    105,110.61/145,053.15 = 57,364.98/x
  3. Step 3: Cross multiply
    105,110.61x = 145,053.15 × 57,364.98
  4. Step 4: Simplify right side
    105,110.61x = 8,320,971,048.69
  5. Step 5: Solve for x
    x = 8,320,971,048.69/105,110.61
  6. Step 6: Final answer
    x = 79,163.95

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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.