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Finding the Fourth Proportional to 111,308.86, 153,629.44 and 102,342.16

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Solution

The fourth proportional to 111,308.86, 153,629.44 and 102,342.16 is: 141,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,308.86 : 153,629.44 = 102,342.16 : x
  2. Step 2: Convert to fraction form
    111,308.86/153,629.44 = 102,342.16/x
  3. Step 3: Cross multiply
    111,308.86x = 153,629.44 × 102,342.16
  4. Step 4: Simplify right side
    111,308.86x = 15,722,768,729.19
  5. Step 5: Solve for x
    x = 15,722,768,729.19/111,308.86
  6. Step 6: Final answer
    x = 141,253.52

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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.