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Finding the Fourth Proportional to 157,154.34, 216,878.31 and 85,536.96

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Solution

The fourth proportional to 157,154.34, 216,878.31 and 85,536.96 is: 118,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,154.34 : 216,878.31 = 85,536.96 : x
  2. Step 2: Convert to fraction form
    157,154.34/216,878.31 = 85,536.96/x
  3. Step 3: Cross multiply
    157,154.34x = 216,878.31 × 85,536.96
  4. Step 4: Simplify right side
    157,154.34x = 18,551,111,327.34
  5. Step 5: Solve for x
    x = 18,551,111,327.34/157,154.34
  6. Step 6: Final answer
    x = 118,043.90

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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.