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Finding the Fourth Proportional to 157,706.22, 217,637.64 and 86,092.50

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Solution

The fourth proportional to 157,706.22, 217,637.64 and 86,092.50 is: 118,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,706.22 : 217,637.64 = 86,092.50 : x
  2. Step 2: Convert to fraction form
    157,706.22/217,637.64 = 86,092.50/x
  3. Step 3: Cross multiply
    157,706.22x = 217,637.64 × 86,092.50
  4. Step 4: Simplify right side
    157,706.22x = 18,736,968,521.70
  5. Step 5: Solve for x
    x = 18,736,968,521.70/157,706.22
  6. Step 6: Final answer
    x = 118,809.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.