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Finding the Fourth Proportional to 118,509.60, 177,764.40 and 105,607.20

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Solution

The fourth proportional to 118,509.60, 177,764.40 and 105,607.20 is: 158,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,509.60 : 177,764.40 = 105,607.20 : x
  2. Step 2: Convert to fraction form
    118,509.60/177,764.40 = 105,607.20/x
  3. Step 3: Cross multiply
    118,509.60x = 177,764.40 × 105,607.20
  4. Step 4: Simplify right side
    118,509.60x = 18,773,200,543.68
  5. Step 5: Solve for x
    x = 18,773,200,543.68/118,509.60
  6. Step 6: Final answer
    x = 158,410.80

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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.