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Finding the Fourth Proportional to 119,348.61, 164,705.31 and 65,637.78

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Solution

The fourth proportional to 119,348.61, 164,705.31 and 65,637.78 is: 90,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,348.61 : 164,705.31 = 65,637.78 : x
  2. Step 2: Convert to fraction form
    119,348.61/164,705.31 = 65,637.78/x
  3. Step 3: Cross multiply
    119,348.61x = 164,705.31 × 65,637.78
  4. Step 4: Simplify right side
    119,348.61x = 10,810,890,902.61
  5. Step 5: Solve for x
    x = 10,810,890,902.61/119,348.61
  6. Step 6: Final answer
    x = 90,582.46

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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.