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Finding the Fourth Proportional to 100,490.76, 138,680.64 and 67,829.40

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Solution

The fourth proportional to 100,490.76, 138,680.64 and 67,829.40 is: 93,606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,490.76 : 138,680.64 = 67,829.40 : x
  2. Step 2: Convert to fraction form
    100,490.76/138,680.64 = 67,829.40/x
  3. Step 3: Cross multiply
    100,490.76x = 138,680.64 × 67,829.40
  4. Step 4: Simplify right side
    100,490.76x = 9,406,624,602.82
  5. Step 5: Solve for x
    x = 9,406,624,602.82/100,490.76
  6. Step 6: Final answer
    x = 93,606.86

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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.