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Finding the Fourth Proportional to 105,012.14, 144,914.51 and 57,264.45

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Solution

The fourth proportional to 105,012.14, 144,914.51 and 57,264.45 is: 79,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,012.14 : 144,914.51 = 57,264.45 : x
  2. Step 2: Convert to fraction form
    105,012.14/144,914.51 = 57,264.45/x
  3. Step 3: Cross multiply
    105,012.14x = 144,914.51 × 57,264.45
  4. Step 4: Simplify right side
    105,012.14x = 8,298,449,425.85
  5. Step 5: Solve for x
    x = 8,298,449,425.85/105,012.14
  6. Step 6: Final answer
    x = 79,023.72

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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.