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Finding the Fourth Proportional to 157,233.21, 216,979.02 and 85,611.93

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Solution

The fourth proportional to 157,233.21, 216,979.02 and 85,611.93 is: 118,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,233.21 : 216,979.02 = 85,611.93 : x
  2. Step 2: Convert to fraction form
    157,233.21/216,979.02 = 85,611.93/x
  3. Step 3: Cross multiply
    157,233.21x = 216,979.02 × 85,611.93
  4. Step 4: Simplify right side
    157,233.21x = 18,575,992,671.71
  5. Step 5: Solve for x
    x = 18,575,992,671.71/157,233.21
  6. Step 6: Final answer
    x = 118,142.93

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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.