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Finding the Fourth Proportional to 102,002.70, 153,004.05 and 70,509.90

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Solution

The fourth proportional to 102,002.70, 153,004.05 and 70,509.90 is: 105,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002.70 : 153,004.05 = 70,509.90 : x
  2. Step 2: Convert to fraction form
    102,002.70/153,004.05 = 70,509.90/x
  3. Step 3: Cross multiply
    102,002.70x = 153,004.05 × 70,509.90
  4. Step 4: Simplify right side
    102,002.70x = 10,788,300,265.10
  5. Step 5: Solve for x
    x = 10,788,300,265.10/102,002.70
  6. Step 6: Final answer
    x = 105,764.85

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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.