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Finding the Fourth Proportional to 105,566.13, 145,695.74 and 64,754.64

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Solution

The fourth proportional to 105,566.13, 145,695.74 and 64,754.64 is: 89,370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,566.13 : 145,695.74 = 64,754.64 : x
  2. Step 2: Convert to fraction form
    105,566.13/145,695.74 = 64,754.64/x
  3. Step 3: Cross multiply
    105,566.13x = 145,695.74 × 64,754.64
  4. Step 4: Simplify right side
    105,566.13x = 9,434,474,869.46
  5. Step 5: Solve for x
    x = 9,434,474,869.46/105,566.13
  6. Step 6: Final answer
    x = 89,370.28

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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.