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Finding the Fourth Proportional to 107,020.98, 147,688.65 and 61,698.78

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Solution

The fourth proportional to 107,020.98, 147,688.65 and 61,698.78 is: 85,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,020.98 : 147,688.65 = 61,698.78 : x
  2. Step 2: Convert to fraction form
    107,020.98/147,688.65 = 61,698.78/x
  3. Step 3: Cross multiply
    107,020.98x = 147,688.65 × 61,698.78
  4. Step 4: Simplify right side
    107,020.98x = 9,112,209,524.85
  5. Step 5: Solve for x
    x = 9,112,209,524.85/107,020.98
  6. Step 6: Final answer
    x = 85,144.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.