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Finding the Fourth Proportional to 165,501.60, 248,284.80 and 70,731.60

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Solution

The fourth proportional to 165,501.60, 248,284.80 and 70,731.60 is: 106,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,501.60 : 248,284.80 = 70,731.60 : x
  2. Step 2: Convert to fraction form
    165,501.60/248,284.80 = 70,731.60/x
  3. Step 3: Cross multiply
    165,501.60x = 248,284.80 × 70,731.60
  4. Step 4: Simplify right side
    165,501.60x = 17,561,581,159.68
  5. Step 5: Solve for x
    x = 17,561,581,159.68/165,501.60
  6. Step 6: Final answer
    x = 106,111.25

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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.