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Finding the Fourth Proportional to 145,612.60, 218,127.30 and 83,210.20

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Solution

The fourth proportional to 145,612.60, 218,127.30 and 83,210.20 is: 124,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,612.60 : 218,127.30 = 83,210.20 : x
  2. Step 2: Convert to fraction form
    145,612.60/218,127.30 = 83,210.20/x
  3. Step 3: Cross multiply
    145,612.60x = 218,127.30 × 83,210.20
  4. Step 4: Simplify right side
    145,612.60x = 18,150,416,258.46
  5. Step 5: Solve for x
    x = 18,150,416,258.46/145,612.60
  6. Step 6: Final answer
    x = 124,648.67

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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.