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Finding the Fourth Proportional to 98,456.60, 135,848.16 and 58,142.84

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Solution

The fourth proportional to 98,456.60, 135,848.16 and 58,142.84 is: 80,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,456.60 : 135,848.16 = 58,142.84 : x
  2. Step 2: Convert to fraction form
    98,456.60/135,848.16 = 58,142.84/x
  3. Step 3: Cross multiply
    98,456.60x = 135,848.16 × 58,142.84
  4. Step 4: Simplify right side
    98,456.60x = 7,898,597,831.17
  5. Step 5: Solve for x
    x = 7,898,597,831.17/98,456.60
  6. Step 6: Final answer
    x = 80,224.16

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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.