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Finding the Fourth Proportional to 157,270, 217,032.60 and 86,614

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Solution

The fourth proportional to 157,270, 217,032.60 and 86,614 is: 119,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,270 : 217,032.60 = 86,614 : x
  2. Step 2: Convert to fraction form
    157,270/217,032.60 = 86,614/x
  3. Step 3: Cross multiply
    157,270x = 217,032.60 × 86,614
  4. Step 4: Simplify right side
    157,270x = 18,798,061,616.40
  5. Step 5: Solve for x
    x = 18,798,061,616.40/157,270
  6. Step 6: Final answer
    x = 119,527.32

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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.