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Finding the Fourth Proportional to 153,244.50, 230,079.96 and 78,416.28

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Solution

The fourth proportional to 153,244.50, 230,079.96 and 78,416.28 is: 117,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,244.50 : 230,079.96 = 78,416.28 : x
  2. Step 2: Convert to fraction form
    153,244.50/230,079.96 = 78,416.28/x
  3. Step 3: Cross multiply
    153,244.50x = 230,079.96 × 78,416.28
  4. Step 4: Simplify right side
    153,244.50x = 18,042,014,565.75
  5. Step 5: Solve for x
    x = 18,042,014,565.75/153,244.50
  6. Step 6: Final answer
    x = 117,733.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.