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Finding the Fourth Proportional to 153,585.37, 211,948.85 and 85,606.71

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Solution

The fourth proportional to 153,585.37, 211,948.85 and 85,606.71 is: 118,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,585.37 : 211,948.85 = 85,606.71 : x
  2. Step 2: Convert to fraction form
    153,585.37/211,948.85 = 85,606.71/x
  3. Step 3: Cross multiply
    153,585.37x = 211,948.85 × 85,606.71
  4. Step 4: Simplify right side
    153,585.37x = 18,144,243,736.78
  5. Step 5: Solve for x
    x = 18,144,243,736.78/153,585.37
  6. Step 6: Final answer
    x = 118,137.84

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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.