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Finding the Fourth Proportional to 157,840.38, 217,775.61 and 106,878.42

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Solution

The fourth proportional to 157,840.38, 217,775.61 and 106,878.42 is: 147,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,840.38 : 217,775.61 = 106,878.42 : x
  2. Step 2: Convert to fraction form
    157,840.38/217,775.61 = 106,878.42/x
  3. Step 3: Cross multiply
    157,840.38x = 217,775.61 × 106,878.42
  4. Step 4: Simplify right side
    157,840.38x = 23,275,513,111.34
  5. Step 5: Solve for x
    x = 23,275,513,111.34/157,840.38
  6. Step 6: Final answer
    x = 147,462.35

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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.