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Finding the Fourth Proportional to 142,805.60, 214,003.60 and 105,071.20

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Solution

The fourth proportional to 142,805.60, 214,003.60 and 105,071.20 is: 157,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,805.60 : 214,003.60 = 105,071.20 : x
  2. Step 2: Convert to fraction form
    142,805.60/214,003.60 = 105,071.20/x
  3. Step 3: Cross multiply
    142,805.60x = 214,003.60 × 105,071.20
  4. Step 4: Simplify right side
    142,805.60x = 22,485,615,056.32
  5. Step 5: Solve for x
    x = 22,485,615,056.32/142,805.60
  6. Step 6: Final answer
    x = 157,456.12

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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.