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Finding the Fourth Proportional to 223,000.40, 307,742.82 and 121,026.74

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Solution

The fourth proportional to 223,000.40, 307,742.82 and 121,026.74 is: 167,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,000.40 : 307,742.82 = 121,026.74 : x
  2. Step 2: Convert to fraction form
    223,000.40/307,742.82 = 121,026.74/x
  3. Step 3: Cross multiply
    223,000.40x = 307,742.82 × 121,026.74
  4. Step 4: Simplify right side
    223,000.40x = 37,245,110,263.01
  5. Step 5: Solve for x
    x = 37,245,110,263.01/223,000.40
  6. Step 6: Final answer
    x = 167,018.13

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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.