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Finding the Fourth Proportional to 107,409.16, 148,200.78 and 64,966.78

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Solution

The fourth proportional to 107,409.16, 148,200.78 and 64,966.78 is: 89,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,409.16 : 148,200.78 = 64,966.78 : x
  2. Step 2: Convert to fraction form
    107,409.16/148,200.78 = 64,966.78/x
  3. Step 3: Cross multiply
    107,409.16x = 148,200.78 × 64,966.78
  4. Step 4: Simplify right side
    107,409.16x = 9,628,127,470.09
  5. Step 5: Solve for x
    x = 9,628,127,470.09/107,409.16
  6. Step 6: Final answer
    x = 89,639.72

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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.