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Finding the Fourth Proportional to 69,875, 96,429.22 and 38,045.64

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Solution

The fourth proportional to 69,875, 96,429.22 and 38,045.64 is: 52,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,875 : 96,429.22 = 38,045.64 : x
  2. Step 2: Convert to fraction form
    69,875/96,429.22 = 38,045.64/x
  3. Step 3: Cross multiply
    69,875x = 96,429.22 × 38,045.64
  4. Step 4: Simplify right side
    69,875x = 3,668,711,389.60
  5. Step 5: Solve for x
    x = 3,668,711,389.60/69,875
  6. Step 6: Final answer
    x = 52,503.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.