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Finding the Fourth Proportional to 99,756.54, 149,733.21 and 53,009.34

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Solution

The fourth proportional to 99,756.54, 149,733.21 and 53,009.34 is: 79,566.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,756.54 : 149,733.21 = 53,009.34 : x
  2. Step 2: Convert to fraction form
    99,756.54/149,733.21 = 53,009.34/x
  3. Step 3: Cross multiply
    99,756.54x = 149,733.21 × 53,009.34
  4. Step 4: Simplify right side
    99,756.54x = 7,937,258,638.18
  5. Step 5: Solve for x
    x = 7,937,258,638.18/99,756.54
  6. Step 6: Final answer
    x = 79,566.30

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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.