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Finding the Fourth Proportional to 153,447.30, 230,023.31 and 78,602.69

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Solution

The fourth proportional to 153,447.30, 230,023.31 and 78,602.69 is: 117,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,447.30 : 230,023.31 = 78,602.69 : x
  2. Step 2: Convert to fraction form
    153,447.30/230,023.31 = 78,602.69/x
  3. Step 3: Cross multiply
    153,447.30x = 230,023.31 × 78,602.69
  4. Step 4: Simplify right side
    153,447.30x = 18,080,451,110.75
  5. Step 5: Solve for x
    x = 18,080,451,110.75/153,447.30
  6. Step 6: Final answer
    x = 117,828.41

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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.