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Finding the Fourth Proportional to 105,897.98, 146,207.76 and 65,654.66

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Solution

The fourth proportional to 105,897.98, 146,207.76 and 65,654.66 is: 90,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,897.98 : 146,207.76 = 65,654.66 : x
  2. Step 2: Convert to fraction form
    105,897.98/146,207.76 = 65,654.66/x
  3. Step 3: Cross multiply
    105,897.98x = 146,207.76 × 65,654.66
  4. Step 4: Simplify right side
    105,897.98x = 9,599,220,772.16
  5. Step 5: Solve for x
    x = 9,599,220,772.16/105,897.98
  6. Step 6: Final answer
    x = 90,645.93

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1.5x scale

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.