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Finding the Fourth Proportional to 102,552, 153,900.90 and 40,222.50

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Solution

The fourth proportional to 102,552, 153,900.90 and 40,222.50 is: 60,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,552 : 153,900.90 = 40,222.50 : x
  2. Step 2: Convert to fraction form
    102,552/153,900.90 = 40,222.50/x
  3. Step 3: Cross multiply
    102,552x = 153,900.90 × 40,222.50
  4. Step 4: Simplify right side
    102,552x = 6,190,278,950.25
  5. Step 5: Solve for x
    x = 6,190,278,950.25/102,552
  6. Step 6: Final answer
    x = 60,362.34

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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.