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Finding the Fourth Proportional to 105,498.60, 158,236.95 and 55,558.47

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Solution

The fourth proportional to 105,498.60, 158,236.95 and 55,558.47 is: 83,331.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,498.60 : 158,236.95 = 55,558.47 : x
  2. Step 2: Convert to fraction form
    105,498.60/158,236.95 = 55,558.47/x
  3. Step 3: Cross multiply
    105,498.60x = 158,236.95 × 55,558.47
  4. Step 4: Simplify right side
    105,498.60x = 8,791,402,839.47
  5. Step 5: Solve for x
    x = 8,791,402,839.47/105,498.60
  6. Step 6: Final answer
    x = 83,331.94

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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.