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Finding the Fourth Proportional to 190,446.24, 285,798.42 and 78,146.76

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Solution

The fourth proportional to 190,446.24, 285,798.42 and 78,146.76 is: 117,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,446.24 : 285,798.42 = 78,146.76 : x
  2. Step 2: Convert to fraction form
    190,446.24/285,798.42 = 78,146.76/x
  3. Step 3: Cross multiply
    190,446.24x = 285,798.42 × 78,146.76
  4. Step 4: Simplify right side
    190,446.24x = 22,334,220,536.12
  5. Step 5: Solve for x
    x = 22,334,220,536.12/190,446.24
  6. Step 6: Final answer
    x = 117,273.10

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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.