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Finding the Fourth Proportional to 153,961.70, 230,827.35 and 83,920.10

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Solution

The fourth proportional to 153,961.70, 230,827.35 and 83,920.10 is: 125,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,961.70 : 230,827.35 = 83,920.10 : x
  2. Step 2: Convert to fraction form
    153,961.70/230,827.35 = 83,920.10/x
  3. Step 3: Cross multiply
    153,961.70x = 230,827.35 × 83,920.10
  4. Step 4: Simplify right side
    153,961.70x = 19,371,054,294.74
  5. Step 5: Solve for x
    x = 19,371,054,294.74/153,961.70
  6. Step 6: Final answer
    x = 125,817.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.