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Finding the Fourth Proportional to 102,104.36, 153,000.61 and 42,907.67

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Solution

The fourth proportional to 102,104.36, 153,000.61 and 42,907.67 is: 64,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104.36 : 153,000.61 = 42,907.67 : x
  2. Step 2: Convert to fraction form
    102,104.36/153,000.61 = 42,907.67/x
  3. Step 3: Cross multiply
    102,104.36x = 153,000.61 × 42,907.67
  4. Step 4: Simplify right side
    102,104.36x = 6,564,899,683.68
  5. Step 5: Solve for x
    x = 6,564,899,683.68/102,104.36
  6. Step 6: Final answer
    x = 64,295.98

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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.