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Finding the Fourth Proportional to 147,903.60, 221,994.60 and 77,833.20

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Solution

The fourth proportional to 147,903.60, 221,994.60 and 77,833.20 is: 116,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,903.60 : 221,994.60 = 77,833.20 : x
  2. Step 2: Convert to fraction form
    147,903.60/221,994.60 = 77,833.20/x
  3. Step 3: Cross multiply
    147,903.60x = 221,994.60 × 77,833.20
  4. Step 4: Simplify right side
    147,903.60x = 17,278,550,100.72
  5. Step 5: Solve for x
    x = 17,278,550,100.72/147,903.60
  6. Step 6: Final answer
    x = 116,823.05

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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.