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Finding the Fourth Proportional to 98,113.10, 135,397 and 55,668.29

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Solution

The fourth proportional to 98,113.10, 135,397 and 55,668.29 is: 76,822.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,113.10 : 135,397 = 55,668.29 : x
  2. Step 2: Convert to fraction form
    98,113.10/135,397 = 55,668.29/x
  3. Step 3: Cross multiply
    98,113.10x = 135,397 × 55,668.29
  4. Step 4: Simplify right side
    98,113.10x = 7,537,319,461.13
  5. Step 5: Solve for x
    x = 7,537,319,461.13/98,113.10
  6. Step 6: Final answer
    x = 76,822.76

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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.