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Finding the Fourth Proportional to 157,482.81, 217,327.23 and 85,864.02

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Solution

The fourth proportional to 157,482.81, 217,327.23 and 85,864.02 is: 118,492.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,482.81 : 217,327.23 = 85,864.02 : x
  2. Step 2: Convert to fraction form
    157,482.81/217,327.23 = 85,864.02/x
  3. Step 3: Cross multiply
    157,482.81x = 217,327.23 × 85,864.02
  4. Step 4: Simplify right side
    157,482.81x = 18,660,589,623.26
  5. Step 5: Solve for x
    x = 18,660,589,623.26/157,482.81
  6. Step 6: Final answer
    x = 118,492.87

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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.