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Finding the Fourth Proportional to 147,873.60, 204,022.80 and 87,415.20

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Solution

The fourth proportional to 147,873.60, 204,022.80 and 87,415.20 is: 120,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,873.60 : 204,022.80 = 87,415.20 : x
  2. Step 2: Convert to fraction form
    147,873.60/204,022.80 = 87,415.20/x
  3. Step 3: Cross multiply
    147,873.60x = 204,022.80 × 87,415.20
  4. Step 4: Simplify right side
    147,873.60x = 17,834,693,866.56
  5. Step 5: Solve for x
    x = 17,834,693,866.56/147,873.60
  6. Step 6: Final answer
    x = 120,607.69

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1.5x scale

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.