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Finding the Fourth Proportional to 106,580.80, 159,871.20 and 102,030.40

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Solution

The fourth proportional to 106,580.80, 159,871.20 and 102,030.40 is: 153,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,580.80 : 159,871.20 = 102,030.40 : x
  2. Step 2: Convert to fraction form
    106,580.80/159,871.20 = 102,030.40/x
  3. Step 3: Cross multiply
    106,580.80x = 159,871.20 × 102,030.40
  4. Step 4: Simplify right side
    106,580.80x = 16,311,722,484.48
  5. Step 5: Solve for x
    x = 16,311,722,484.48/106,580.80
  6. Step 6: Final answer
    x = 153,045.60

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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.