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Finding the Fourth Proportional to 157,878, 217,871.64 and 90,810

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Solution

The fourth proportional to 157,878, 217,871.64 and 90,810 is: 125,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,878 : 217,871.64 = 90,810 : x
  2. Step 2: Convert to fraction form
    157,878/217,871.64 = 90,810/x
  3. Step 3: Cross multiply
    157,878x = 217,871.64 × 90,810
  4. Step 4: Simplify right side
    157,878x = 19,784,923,628.40
  5. Step 5: Solve for x
    x = 19,784,923,628.40/157,878
  6. Step 6: Final answer
    x = 125,317.80

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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.