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Finding the Fourth Proportional to 157,298.72, 217,071.90 and 85,678.56

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Solution

The fourth proportional to 157,298.72, 217,071.90 and 85,678.56 is: 118,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,298.72 : 217,071.90 = 85,678.56 : x
  2. Step 2: Convert to fraction form
    157,298.72/217,071.90 = 85,678.56/x
  3. Step 3: Cross multiply
    157,298.72x = 217,071.90 × 85,678.56
  4. Step 4: Simplify right side
    157,298.72x = 18,598,407,808.46
  5. Step 5: Solve for x
    x = 18,598,407,808.46/157,298.72
  6. Step 6: Final answer
    x = 118,236.23

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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.