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Finding the Fourth Proportional to 102,030.20, 153,045.30 and 73,890.80

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Solution

The fourth proportional to 102,030.20, 153,045.30 and 73,890.80 is: 110,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,030.20 : 153,045.30 = 73,890.80 : x
  2. Step 2: Convert to fraction form
    102,030.20/153,045.30 = 73,890.80/x
  3. Step 3: Cross multiply
    102,030.20x = 153,045.30 × 73,890.80
  4. Step 4: Simplify right side
    102,030.20x = 11,308,639,653.24
  5. Step 5: Solve for x
    x = 11,308,639,653.24/102,030.20
  6. Step 6: Final answer
    x = 110,836.20

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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.