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Finding the Fourth Proportional to 157,143.56, 216,853.96 and 85,522.06

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Solution

The fourth proportional to 157,143.56, 216,853.96 and 85,522.06 is: 118,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,143.56 : 216,853.96 = 85,522.06 : x
  2. Step 2: Convert to fraction form
    157,143.56/216,853.96 = 85,522.06/x
  3. Step 3: Cross multiply
    157,143.56x = 216,853.96 × 85,522.06
  4. Step 4: Simplify right side
    157,143.56x = 18,545,797,378.36
  5. Step 5: Solve for x
    x = 18,545,797,378.36/157,143.56
  6. Step 6: Final answer
    x = 118,018.18

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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.