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Finding the Fourth Proportional to 292,145, 403,160.13 and 158,009

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Solution

The fourth proportional to 292,145, 403,160.13 and 158,009 is: 218,052.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,145 : 403,160.13 = 158,009 : x
  2. Step 2: Convert to fraction form
    292,145/403,160.13 = 158,009/x
  3. Step 3: Cross multiply
    292,145x = 403,160.13 × 158,009
  4. Step 4: Simplify right side
    292,145x = 63,702,928,981.17
  5. Step 5: Solve for x
    x = 63,702,928,981.17/292,145
  6. Step 6: Final answer
    x = 218,052.44

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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.