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Finding the Fourth Proportional to 98,831.91, 136,387.86 and 53,509.89

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Solution

The fourth proportional to 98,831.91, 136,387.86 and 53,509.89 is: 73,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,831.91 : 136,387.86 = 53,509.89 : x
  2. Step 2: Convert to fraction form
    98,831.91/136,387.86 = 53,509.89/x
  3. Step 3: Cross multiply
    98,831.91x = 136,387.86 × 53,509.89
  4. Step 4: Simplify right side
    98,831.91x = 7,298,098,775.38
  5. Step 5: Solve for x
    x = 7,298,098,775.38/98,831.91
  6. Step 6: Final answer
    x = 73,843.55

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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.