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Finding the Fourth Proportional to 207,164.51, 310,248.30 and 140,402.08

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Solution

The fourth proportional to 207,164.51, 310,248.30 and 140,402.08 is: 210,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,164.51 : 310,248.30 = 140,402.08 : x
  2. Step 2: Convert to fraction form
    207,164.51/310,248.30 = 140,402.08/x
  3. Step 3: Cross multiply
    207,164.51x = 310,248.30 × 140,402.08
  4. Step 4: Simplify right side
    207,164.51x = 43,559,505,085.22
  5. Step 5: Solve for x
    x = 43,559,505,085.22/207,164.51
  6. Step 6: Final answer
    x = 210,265.29

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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.