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Finding the Fourth Proportional to 152,035, 209,814.78 and 84,967

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Solution

The fourth proportional to 152,035, 209,814.78 and 84,967 is: 117,258.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,035 : 209,814.78 = 84,967 : x
  2. Step 2: Convert to fraction form
    152,035/209,814.78 = 84,967/x
  3. Step 3: Cross multiply
    152,035x = 209,814.78 × 84,967
  4. Step 4: Simplify right side
    152,035x = 17,827,332,412.26
  5. Step 5: Solve for x
    x = 17,827,332,412.26/152,035
  6. Step 6: Final answer
    x = 117,258.08

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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.