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Finding the Fourth Proportional to 140,341.08, 193,665 and 76,681.08

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Solution

The fourth proportional to 140,341.08, 193,665 and 76,681.08 is: 105,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,341.08 : 193,665 = 76,681.08 : x
  2. Step 2: Convert to fraction form
    140,341.08/193,665 = 76,681.08/x
  3. Step 3: Cross multiply
    140,341.08x = 193,665 × 76,681.08
  4. Step 4: Simplify right side
    140,341.08x = 14,850,441,358.20
  5. Step 5: Solve for x
    x = 14,850,441,358.20/140,341.08
  6. Step 6: Final answer
    x = 105,816.78

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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.