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Finding the Fourth Proportional to 152,221.73, 210,066.40 and 84,243.40

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Solution

The fourth proportional to 152,221.73, 210,066.40 and 84,243.40 is: 116,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,221.73 : 210,066.40 = 84,243.40 : x
  2. Step 2: Convert to fraction form
    152,221.73/210,066.40 = 84,243.40/x
  3. Step 3: Cross multiply
    152,221.73x = 210,066.40 × 84,243.40
  4. Step 4: Simplify right side
    152,221.73x = 17,696,706,290.21
  5. Step 5: Solve for x
    x = 17,696,706,290.21/152,221.73
  6. Step 6: Final answer
    x = 116,256.11

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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.