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Finding the Fourth Proportional to 55,830, 77,045.44 and 30,679.68

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Solution

The fourth proportional to 55,830, 77,045.44 and 30,679.68 is: 42,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,830 : 77,045.44 = 30,679.68 : x
  2. Step 2: Convert to fraction form
    55,830/77,045.44 = 30,679.68/x
  3. Step 3: Cross multiply
    55,830x = 77,045.44 × 30,679.68
  4. Step 4: Simplify right side
    55,830x = 2,363,729,444.66
  5. Step 5: Solve for x
    x = 2,363,729,444.66/55,830
  6. Step 6: Final answer
    x = 42,337.98

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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.