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Finding the Fourth Proportional to 153,956.09, 212,455.31 and 85,971.17

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Solution

The fourth proportional to 153,956.09, 212,455.31 and 85,971.17 is: 118,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,956.09 : 212,455.31 = 85,971.17 : x
  2. Step 2: Convert to fraction form
    153,956.09/212,455.31 = 85,971.17/x
  3. Step 3: Cross multiply
    153,956.09x = 212,455.31 × 85,971.17
  4. Step 4: Simplify right side
    153,956.09x = 18,265,031,674.70
  5. Step 5: Solve for x
    x = 18,265,031,674.70/153,956.09
  6. Step 6: Final answer
    x = 118,637.93

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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.