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Finding the Fourth Proportional to 152,330.42, 210,216.12 and 85,262.42

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Solution

The fourth proportional to 152,330.42, 210,216.12 and 85,262.42 is: 117,662.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,330.42 : 210,216.12 = 85,262.42 : x
  2. Step 2: Convert to fraction form
    152,330.42/210,216.12 = 85,262.42/x
  3. Step 3: Cross multiply
    152,330.42x = 210,216.12 × 85,262.42
  4. Step 4: Simplify right side
    152,330.42x = 17,923,535,114.21
  5. Step 5: Solve for x
    x = 17,923,535,114.21/152,330.42
  6. Step 6: Final answer
    x = 117,662.22

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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.