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Finding the Fourth Proportional to 105,110.80, 157,666.20 and 42,749.20

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Solution

The fourth proportional to 105,110.80, 157,666.20 and 42,749.20 is: 64,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,110.80 : 157,666.20 = 42,749.20 : x
  2. Step 2: Convert to fraction form
    105,110.80/157,666.20 = 42,749.20/x
  3. Step 3: Cross multiply
    105,110.80x = 157,666.20 × 42,749.20
  4. Step 4: Simplify right side
    105,110.80x = 6,740,103,917.04
  5. Step 5: Solve for x
    x = 6,740,103,917.04/105,110.80
  6. Step 6: Final answer
    x = 64,123.80

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1.5x scale

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.