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Finding the Fourth Proportional to 77,705.52, 116,389.80 and 48,130.80

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Solution

The fourth proportional to 77,705.52, 116,389.80 and 48,130.80 is: 72,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,705.52 : 116,389.80 = 48,130.80 : x
  2. Step 2: Convert to fraction form
    77,705.52/116,389.80 = 48,130.80/x
  3. Step 3: Cross multiply
    77,705.52x = 116,389.80 × 48,130.80
  4. Step 4: Simplify right side
    77,705.52x = 5,601,934,185.84
  5. Step 5: Solve for x
    x = 5,601,934,185.84/77,705.52
  6. Step 6: Final answer
    x = 72,091.84

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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.