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Finding the Fourth Proportional to 153,746.82, 212,174.37 and 85,763.30

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Solution

The fourth proportional to 153,746.82, 212,174.37 and 85,763.30 is: 118,355.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,746.82 : 212,174.37 = 85,763.30 : x
  2. Step 2: Convert to fraction form
    153,746.82/212,174.37 = 85,763.30/x
  3. Step 3: Cross multiply
    153,746.82x = 212,174.37 × 85,763.30
  4. Step 4: Simplify right side
    153,746.82x = 18,196,773,085.75
  5. Step 5: Solve for x
    x = 18,196,773,085.75/153,746.82
  6. Step 6: Final answer
    x = 118,355.44

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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.