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Finding the Fourth Proportional to 157,820, 217,798.08 and 90,752

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Solution

The fourth proportional to 157,820, 217,798.08 and 90,752 is: 125,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,820 : 217,798.08 = 90,752 : x
  2. Step 2: Convert to fraction form
    157,820/217,798.08 = 90,752/x
  3. Step 3: Cross multiply
    157,820x = 217,798.08 × 90,752
  4. Step 4: Simplify right side
    157,820x = 19,765,611,356.16
  5. Step 5: Solve for x
    x = 19,765,611,356.16/157,820
  6. Step 6: Final answer
    x = 125,241.49

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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.