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Finding the Fourth Proportional to 55,841, 77,060.58 and 30,690.50

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Solution

The fourth proportional to 55,841, 77,060.58 and 30,690.50 is: 42,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,841 : 77,060.58 = 30,690.50 : x
  2. Step 2: Convert to fraction form
    55,841/77,060.58 = 30,690.50/x
  3. Step 3: Cross multiply
    55,841x = 77,060.58 × 30,690.50
  4. Step 4: Simplify right side
    55,841x = 2,365,027,730.49
  5. Step 5: Solve for x
    x = 2,365,027,730.49/55,841
  6. Step 6: Final answer
    x = 42,352.89

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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.