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Finding the Fourth Proportional to 106,510.32, 146,957.94 and 65,106.90

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Solution

The fourth proportional to 106,510.32, 146,957.94 and 65,106.90 is: 89,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,510.32 : 146,957.94 = 65,106.90 : x
  2. Step 2: Convert to fraction form
    106,510.32/146,957.94 = 65,106.90/x
  3. Step 3: Cross multiply
    106,510.32x = 146,957.94 × 65,106.90
  4. Step 4: Simplify right side
    106,510.32x = 9,567,975,903.79
  5. Step 5: Solve for x
    x = 9,567,975,903.79/106,510.32
  6. Step 6: Final answer
    x = 89,831.44

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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.