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Finding the Fourth Proportional to 152,309.78, 210,187.47 and 85,241.78

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Solution

The fourth proportional to 152,309.78, 210,187.47 and 85,241.78 is: 117,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,309.78 : 210,187.47 = 85,241.78 : x
  2. Step 2: Convert to fraction form
    152,309.78/210,187.47 = 85,241.78/x
  3. Step 3: Cross multiply
    152,309.78x = 210,187.47 × 85,241.78
  4. Step 4: Simplify right side
    152,309.78x = 17,916,754,076.50
  5. Step 5: Solve for x
    x = 17,916,754,076.50/152,309.78
  6. Step 6: Final answer
    x = 117,633.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.