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Finding the Fourth Proportional to 157,368, 217,167.84 and 86,712

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Solution

The fourth proportional to 157,368, 217,167.84 and 86,712 is: 119,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,368 : 217,167.84 = 86,712 : x
  2. Step 2: Convert to fraction form
    157,368/217,167.84 = 86,712/x
  3. Step 3: Cross multiply
    157,368x = 217,167.84 × 86,712
  4. Step 4: Simplify right side
    157,368x = 18,831,057,742.08
  5. Step 5: Solve for x
    x = 18,831,057,742.08/157,368
  6. Step 6: Final answer
    x = 119,662.56

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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.