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Finding the Fourth Proportional to 157,689.82, 236,407.02 and 107,643.88

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Solution

The fourth proportional to 157,689.82, 236,407.02 and 107,643.88 is: 161,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,689.82 : 236,407.02 = 107,643.88 : x
  2. Step 2: Convert to fraction form
    157,689.82/236,407.02 = 107,643.88/x
  3. Step 3: Cross multiply
    157,689.82x = 236,407.02 × 107,643.88
  4. Step 4: Simplify right side
    157,689.82x = 25,447,768,892.04
  5. Step 5: Solve for x
    x = 25,447,768,892.04/157,689.82
  6. Step 6: Final answer
    x = 161,378.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.