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Finding the Fourth Proportional to 102,006.40, 153,009.60 and 101,423.20

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Solution

The fourth proportional to 102,006.40, 153,009.60 and 101,423.20 is: 152,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006.40 : 153,009.60 = 101,423.20 : x
  2. Step 2: Convert to fraction form
    102,006.40/153,009.60 = 101,423.20/x
  3. Step 3: Cross multiply
    102,006.40x = 153,009.60 × 101,423.20
  4. Step 4: Simplify right side
    102,006.40x = 15,518,723,262.72
  5. Step 5: Solve for x
    x = 15,518,723,262.72/102,006.40
  6. Step 6: Final answer
    x = 152,134.80

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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.