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Finding the Fourth Proportional to 157,059, 216,741.42 and 86,403

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Solution

The fourth proportional to 157,059, 216,741.42 and 86,403 is: 119,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,059 : 216,741.42 = 86,403 : x
  2. Step 2: Convert to fraction form
    157,059/216,741.42 = 86,403/x
  3. Step 3: Cross multiply
    157,059x = 216,741.42 × 86,403
  4. Step 4: Simplify right side
    157,059x = 18,727,108,912.26
  5. Step 5: Solve for x
    x = 18,727,108,912.26/157,059
  6. Step 6: Final answer
    x = 119,236.14

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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.