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Finding the Fourth Proportional to 105,781.50, 158,666.38 and 77,347.60

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Solution

The fourth proportional to 105,781.50, 158,666.38 and 77,347.60 is: 116,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,781.50 : 158,666.38 = 77,347.60 : x
  2. Step 2: Convert to fraction form
    105,781.50/158,666.38 = 77,347.60/x
  3. Step 3: Cross multiply
    105,781.50x = 158,666.38 × 77,347.60
  4. Step 4: Simplify right side
    105,781.50x = 12,272,463,103.65
  5. Step 5: Solve for x
    x = 12,272,463,103.65/105,781.50
  6. Step 6: Final answer
    x = 116,017.10

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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.