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Finding the Fourth Proportional to 102,309.56, 153,464.64 and 35,749.70

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Solution

The fourth proportional to 102,309.56, 153,464.64 and 35,749.70 is: 53,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,309.56 : 153,464.64 = 35,749.70 : x
  2. Step 2: Convert to fraction form
    102,309.56/153,464.64 = 35,749.70/x
  3. Step 3: Cross multiply
    102,309.56x = 153,464.64 × 35,749.70
  4. Step 4: Simplify right side
    102,309.56x = 5,486,314,840.61
  5. Step 5: Solve for x
    x = 5,486,314,840.61/102,309.56
  6. Step 6: Final answer
    x = 53,624.65

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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.