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Finding the Fourth Proportional to 157,203.81, 217,085.35 and 99,861.61

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Solution

The fourth proportional to 157,203.81, 217,085.35 and 99,861.61 is: 137,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,203.81 : 217,085.35 = 99,861.61 : x
  2. Step 2: Convert to fraction form
    157,203.81/217,085.35 = 99,861.61/x
  3. Step 3: Cross multiply
    157,203.81x = 217,085.35 × 99,861.61
  4. Step 4: Simplify right side
    157,203.81x = 21,678,492,308.76
  5. Step 5: Solve for x
    x = 21,678,492,308.76/157,203.81
  6. Step 6: Final answer
    x = 137,900.56

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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.