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Finding the Fourth Proportional to 65,543.05, 90,501.36 and 52,756

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Solution

The fourth proportional to 65,543.05, 90,501.36 and 52,756 is: 72,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,543.05 : 90,501.36 = 52,756 : x
  2. Step 2: Convert to fraction form
    65,543.05/90,501.36 = 52,756/x
  3. Step 3: Cross multiply
    65,543.05x = 90,501.36 × 52,756
  4. Step 4: Simplify right side
    65,543.05x = 4,774,489,748.16
  5. Step 5: Solve for x
    x = 4,774,489,748.16/65,543.05
  6. Step 6: Final answer
    x = 72,845.10

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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.