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Finding the Fourth Proportional to 102,439.76, 153,622.74 and 43,280.05

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Solution

The fourth proportional to 102,439.76, 153,622.74 and 43,280.05 is: 64,904.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,439.76 : 153,622.74 = 43,280.05 : x
  2. Step 2: Convert to fraction form
    102,439.76/153,622.74 = 43,280.05/x
  3. Step 3: Cross multiply
    102,439.76x = 153,622.74 × 43,280.05
  4. Step 4: Simplify right side
    102,439.76x = 6,648,799,319.97
  5. Step 5: Solve for x
    x = 6,648,799,319.97/102,439.76
  6. Step 6: Final answer
    x = 64,904.48

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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.