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Finding the Fourth Proportional to 105,701.49, 145,866.95 and 57,954.72

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Solution

The fourth proportional to 105,701.49, 145,866.95 and 57,954.72 is: 79,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,701.49 : 145,866.95 = 57,954.72 : x
  2. Step 2: Convert to fraction form
    105,701.49/145,866.95 = 57,954.72/x
  3. Step 3: Cross multiply
    105,701.49x = 145,866.95 × 57,954.72
  4. Step 4: Simplify right side
    105,701.49x = 8,453,677,954.73
  5. Step 5: Solve for x
    x = 8,453,677,954.73/105,701.49
  6. Step 6: Final answer
    x = 79,976.90

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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.