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Finding the Fourth Proportional to 105,148.97, 145,157.61 and 64,884.91

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Solution

The fourth proportional to 105,148.97, 145,157.61 and 64,884.91 is: 89,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,148.97 : 145,157.61 = 64,884.91 : x
  2. Step 2: Convert to fraction form
    105,148.97/145,157.61 = 64,884.91/x
  3. Step 3: Cross multiply
    105,148.97x = 145,157.61 × 64,884.91
  4. Step 4: Simplify right side
    105,148.97x = 9,418,537,491.56
  5. Step 5: Solve for x
    x = 9,418,537,491.56/105,148.97
  6. Step 6: Final answer
    x = 89,573.27

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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.