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Finding the Fourth Proportional to 157,417.86, 217,230.30 and 85,796.34

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Solution

The fourth proportional to 157,417.86, 217,230.30 and 85,796.34 is: 118,395.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,417.86 : 217,230.30 = 85,796.34 : x
  2. Step 2: Convert to fraction form
    157,417.86/217,230.30 = 85,796.34/x
  3. Step 3: Cross multiply
    157,417.86x = 217,230.30 × 85,796.34
  4. Step 4: Simplify right side
    157,417.86x = 18,637,564,677.10
  5. Step 5: Solve for x
    x = 18,637,564,677.10/157,417.86
  6. Step 6: Final answer
    x = 118,395.49

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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.