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Finding the Fourth Proportional to 229,957.47, 317,069.82 and 157,395.32

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Solution

The fourth proportional to 229,957.47, 317,069.82 and 157,395.32 is: 217,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,957.47 : 317,069.82 = 157,395.32 : x
  2. Step 2: Convert to fraction form
    229,957.47/317,069.82 = 157,395.32/x
  3. Step 3: Cross multiply
    229,957.47x = 317,069.82 × 157,395.32
  4. Step 4: Simplify right side
    229,957.47x = 49,905,305,781.24
  5. Step 5: Solve for x
    x = 49,905,305,781.24/229,957.47
  6. Step 6: Final answer
    x = 217,019.72

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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.