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Finding the Fourth Proportional to 105,023.88, 144,890.10 and 64,166.76

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Solution

The fourth proportional to 105,023.88, 144,890.10 and 64,166.76 is: 88,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,023.88 : 144,890.10 = 64,166.76 : x
  2. Step 2: Convert to fraction form
    105,023.88/144,890.10 = 64,166.76/x
  3. Step 3: Cross multiply
    105,023.88x = 144,890.10 × 64,166.76
  4. Step 4: Simplify right side
    105,023.88x = 9,297,128,273.08
  5. Step 5: Solve for x
    x = 9,297,128,273.08/105,023.88
  6. Step 6: Final answer
    x = 88,523.95

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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.