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Finding the Fourth Proportional to 157,284.48, 217,051.47 and 85,664.28

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Solution

The fourth proportional to 157,284.48, 217,051.47 and 85,664.28 is: 118,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,284.48 : 217,051.47 = 85,664.28 : x
  2. Step 2: Convert to fraction form
    157,284.48/217,051.47 = 85,664.28/x
  3. Step 3: Cross multiply
    157,284.48x = 217,051.47 × 85,664.28
  4. Step 4: Simplify right side
    157,284.48x = 18,593,557,900.49
  5. Step 5: Solve for x
    x = 18,593,557,900.49/157,284.48
  6. Step 6: Final answer
    x = 118,216.10

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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.