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Finding the Fourth Proportional to 121,301.40, 181,952.10 and 76,978.20

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Solution

The fourth proportional to 121,301.40, 181,952.10 and 76,978.20 is: 115,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,301.40 : 181,952.10 = 76,978.20 : x
  2. Step 2: Convert to fraction form
    121,301.40/181,952.10 = 76,978.20/x
  3. Step 3: Cross multiply
    121,301.40x = 181,952.10 × 76,978.20
  4. Step 4: Simplify right side
    121,301.40x = 14,006,345,144.22
  5. Step 5: Solve for x
    x = 14,006,345,144.22/121,301.40
  6. Step 6: Final answer
    x = 115,467.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.