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Finding the Fourth Proportional to 70,668.16, 97,515.84 and 42,389.44

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Solution

The fourth proportional to 70,668.16, 97,515.84 and 42,389.44 is: 58,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,668.16 : 97,515.84 = 42,389.44 : x
  2. Step 2: Convert to fraction form
    70,668.16/97,515.84 = 42,389.44/x
  3. Step 3: Cross multiply
    70,668.16x = 97,515.84 × 42,389.44
  4. Step 4: Simplify right side
    70,668.16x = 4,133,641,848.73
  5. Step 5: Solve for x
    x = 4,133,641,848.73/70,668.16
  6. Step 6: Final answer
    x = 58,493.70

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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.