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Finding the Fourth Proportional to 153,305.84, 211,561.56 and 85,322.48

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Solution

The fourth proportional to 153,305.84, 211,561.56 and 85,322.48 is: 117,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,305.84 : 211,561.56 = 85,322.48 : x
  2. Step 2: Convert to fraction form
    153,305.84/211,561.56 = 85,322.48/x
  3. Step 3: Cross multiply
    153,305.84x = 211,561.56 × 85,322.48
  4. Step 4: Simplify right side
    153,305.84x = 18,050,956,971.87
  5. Step 5: Solve for x
    x = 18,050,956,971.87/153,305.84
  6. Step 6: Final answer
    x = 117,744.74

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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.