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Finding the Fourth Proportional to 157,178, 216,905.64 and 86,522

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Solution

The fourth proportional to 157,178, 216,905.64 and 86,522 is: 119,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,178 : 216,905.64 = 86,522 : x
  2. Step 2: Convert to fraction form
    157,178/216,905.64 = 86,522/x
  3. Step 3: Cross multiply
    157,178x = 216,905.64 × 86,522
  4. Step 4: Simplify right side
    157,178x = 18,767,109,784.08
  5. Step 5: Solve for x
    x = 18,767,109,784.08/157,178
  6. Step 6: Final answer
    x = 119,400.36

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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.