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Finding the Fourth Proportional to 152,881.30, 210,969.12 and 84,902.62

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Solution

The fourth proportional to 152,881.30, 210,969.12 and 84,902.62 is: 117,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,881.30 : 210,969.12 = 84,902.62 : x
  2. Step 2: Convert to fraction form
    152,881.30/210,969.12 = 84,902.62/x
  3. Step 3: Cross multiply
    152,881.30x = 210,969.12 × 84,902.62
  4. Step 4: Simplify right side
    152,881.30x = 17,911,831,027.09
  5. Step 5: Solve for x
    x = 17,911,831,027.09/152,881.30
  6. Step 6: Final answer
    x = 117,161.69

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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.