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Finding the Fourth Proportional to 102,060.33, 152,802.93 and 77,020.80

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Solution

The fourth proportional to 102,060.33, 152,802.93 and 77,020.80 is: 115,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,060.33 : 152,802.93 = 77,020.80 : x
  2. Step 2: Convert to fraction form
    102,060.33/152,802.93 = 77,020.80/x
  3. Step 3: Cross multiply
    102,060.33x = 152,802.93 × 77,020.80
  4. Step 4: Simplify right side
    102,060.33x = 11,769,003,910.94
  5. Step 5: Solve for x
    x = 11,769,003,910.94/102,060.33
  6. Step 6: Final answer
    x = 115,314.19

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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.