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Finding the Fourth Proportional to 107,154.81, 147,841.56 and 61,831.94

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Solution

The fourth proportional to 107,154.81, 147,841.56 and 61,831.94 is: 85,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,154.81 : 147,841.56 = 61,831.94 : x
  2. Step 2: Convert to fraction form
    107,154.81/147,841.56 = 61,831.94/x
  3. Step 3: Cross multiply
    107,154.81x = 147,841.56 × 61,831.94
  4. Step 4: Simplify right side
    107,154.81x = 9,141,329,728.22
  5. Step 5: Solve for x
    x = 9,141,329,728.22/107,154.81
  6. Step 6: Final answer
    x = 85,309.56

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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.