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Finding the Fourth Proportional to 153,694.60, 212,099.51 and 85,715.89

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Solution

The fourth proportional to 153,694.60, 212,099.51 and 85,715.89 is: 118,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,694.60 : 212,099.51 = 85,715.89 : x
  2. Step 2: Convert to fraction form
    153,694.60/212,099.51 = 85,715.89/x
  3. Step 3: Cross multiply
    153,694.60x = 212,099.51 × 85,715.89
  4. Step 4: Simplify right side
    153,694.60x = 18,180,298,268.21
  5. Step 5: Solve for x
    x = 18,180,298,268.21/153,694.60
  6. Step 6: Final answer
    x = 118,288.46

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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.