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Finding the Fourth Proportional to 145,804.80, 218,966.40 and 106,406.40

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Solution

The fourth proportional to 145,804.80, 218,966.40 and 106,406.40 is: 159,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,804.80 : 218,966.40 = 106,406.40 : x
  2. Step 2: Convert to fraction form
    145,804.80/218,966.40 = 106,406.40/x
  3. Step 3: Cross multiply
    145,804.80x = 218,966.40 × 106,406.40
  4. Step 4: Simplify right side
    145,804.80x = 23,299,426,344.96
  5. Step 5: Solve for x
    x = 23,299,426,344.96/145,804.80
  6. Step 6: Final answer
    x = 159,798.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.