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Finding the Fourth Proportional to 77,165.70, 115,748.55 and 45,543.30

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Solution

The fourth proportional to 77,165.70, 115,748.55 and 45,543.30 is: 68,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,165.70 : 115,748.55 = 45,543.30 : x
  2. Step 2: Convert to fraction form
    77,165.70/115,748.55 = 45,543.30/x
  3. Step 3: Cross multiply
    77,165.70x = 115,748.55 × 45,543.30
  4. Step 4: Simplify right side
    77,165.70x = 5,271,570,937.22
  5. Step 5: Solve for x
    x = 5,271,570,937.22/77,165.70
  6. Step 6: Final answer
    x = 68,314.95

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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.