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Finding the Fourth Proportional to 70,477.92, 105,733.08 and 40,920.48

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Solution

The fourth proportional to 70,477.92, 105,733.08 and 40,920.48 is: 61,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,477.92 : 105,733.08 = 40,920.48 : x
  2. Step 2: Convert to fraction form
    70,477.92/105,733.08 = 40,920.48/x
  3. Step 3: Cross multiply
    70,477.92x = 105,733.08 × 40,920.48
  4. Step 4: Simplify right side
    70,477.92x = 4,326,648,385.48
  5. Step 5: Solve for x
    x = 4,326,648,385.48/70,477.92
  6. Step 6: Final answer
    x = 61,390.13

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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.