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Finding the Fourth Proportional to 157,117.70, 216,827.32 and 89,137.53

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Solution

The fourth proportional to 157,117.70, 216,827.32 and 89,137.53 is: 123,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,117.70 : 216,827.32 = 89,137.53 : x
  2. Step 2: Convert to fraction form
    157,117.70/216,827.32 = 89,137.53/x
  3. Step 3: Cross multiply
    157,117.70x = 216,827.32 × 89,137.53
  4. Step 4: Simplify right side
    157,117.70x = 19,327,451,741.32
  5. Step 5: Solve for x
    x = 19,327,451,741.32/157,117.70
  6. Step 6: Final answer
    x = 123,012.57

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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.