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Finding the Fourth Proportional to 157,896.84, 217,895.05 and 86,275.32

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Solution

The fourth proportional to 157,896.84, 217,895.05 and 86,275.32 is: 119,058.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,896.84 : 217,895.05 = 86,275.32 : x
  2. Step 2: Convert to fraction form
    157,896.84/217,895.05 = 86,275.32/x
  3. Step 3: Cross multiply
    157,896.84x = 217,895.05 × 86,275.32
  4. Step 4: Simplify right side
    157,896.84x = 18,798,965,165.17
  5. Step 5: Solve for x
    x = 18,798,965,165.17/157,896.84
  6. Step 6: Final answer
    x = 119,058.53

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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.