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Finding the Fourth Proportional to 157,763.81, 217,713.19 and 86,143.32

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Solution

The fourth proportional to 157,763.81, 217,713.19 and 86,143.32 is: 118,877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,763.81 : 217,713.19 = 86,143.32 : x
  2. Step 2: Convert to fraction form
    157,763.81/217,713.19 = 86,143.32/x
  3. Step 3: Cross multiply
    157,763.81x = 217,713.19 × 86,143.32
  4. Step 4: Simplify right side
    157,763.81x = 18,754,537,348.76
  5. Step 5: Solve for x
    x = 18,754,537,348.76/157,763.81
  6. Step 6: Final answer
    x = 118,877.31

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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.