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Finding the Fourth Proportional to 99,471.48, 149,208.77 and 55,378.47

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Solution

The fourth proportional to 99,471.48, 149,208.77 and 55,378.47 is: 83,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,471.48 : 149,208.77 = 55,378.47 : x
  2. Step 2: Convert to fraction form
    99,471.48/149,208.77 = 55,378.47/x
  3. Step 3: Cross multiply
    99,471.48x = 149,208.77 × 55,378.47
  4. Step 4: Simplify right side
    99,471.48x = 8,262,953,393.18
  5. Step 5: Solve for x
    x = 8,262,953,393.18/99,471.48
  6. Step 6: Final answer
    x = 83,068.57

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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.