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Finding the Fourth Proportional to 157,870.84, 217,867.38 and 86,255.32

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Solution

The fourth proportional to 157,870.84, 217,867.38 and 86,255.32 is: 119,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,870.84 : 217,867.38 = 86,255.32 : x
  2. Step 2: Convert to fraction form
    157,870.84/217,867.38 = 86,255.32/x
  3. Step 3: Cross multiply
    157,870.84x = 217,867.38 × 86,255.32
  4. Step 4: Simplify right side
    157,870.84x = 18,792,220,579.46
  5. Step 5: Solve for x
    x = 18,792,220,579.46/157,870.84
  6. Step 6: Final answer
    x = 119,035.41

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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.