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Finding the Fourth Proportional to 100,492.26, 138,682.71 and 67,830.90

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Solution

The fourth proportional to 100,492.26, 138,682.71 and 67,830.90 is: 93,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,492.26 : 138,682.71 = 67,830.90 : x
  2. Step 2: Convert to fraction form
    100,492.26/138,682.71 = 67,830.90/x
  3. Step 3: Cross multiply
    100,492.26x = 138,682.71 × 67,830.90
  4. Step 4: Simplify right side
    100,492.26x = 9,406,973,033.74
  5. Step 5: Solve for x
    x = 9,406,973,033.74/100,492.26
  6. Step 6: Final answer
    x = 93,608.93

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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.