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Finding the Fourth Proportional to 105,534, 145,613.64 and 64,706.88

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Solution

The fourth proportional to 105,534, 145,613.64 and 64,706.88 is: 89,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,534 : 145,613.64 = 64,706.88 : x
  2. Step 2: Convert to fraction form
    105,534/145,613.64 = 64,706.88/x
  3. Step 3: Cross multiply
    105,534x = 145,613.64 × 64,706.88
  4. Step 4: Simplify right side
    105,534x = 9,422,204,329.84
  5. Step 5: Solve for x
    x = 9,422,204,329.84/105,534
  6. Step 6: Final answer
    x = 89,281.22

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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.