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Finding the Fourth Proportional to 64,359.92, 96,407.04 and 47,738.72

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Solution

The fourth proportional to 64,359.92, 96,407.04 and 47,738.72 is: 71,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,359.92 : 96,407.04 = 47,738.72 : x
  2. Step 2: Convert to fraction form
    64,359.92/96,407.04 = 47,738.72/x
  3. Step 3: Cross multiply
    64,359.92x = 96,407.04 × 47,738.72
  4. Step 4: Simplify right side
    64,359.92x = 4,602,348,688.59
  5. Step 5: Solve for x
    x = 4,602,348,688.59/64,359.92
  6. Step 6: Final answer
    x = 71,509.55

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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.