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Finding the Fourth Proportional to 70,823.80, 97,653.90 and 42,519.16

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Solution

The fourth proportional to 70,823.80, 97,653.90 and 42,519.16 is: 58,626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,823.80 : 97,653.90 = 42,519.16 : x
  2. Step 2: Convert to fraction form
    70,823.80/97,653.90 = 42,519.16/x
  3. Step 3: Cross multiply
    70,823.80x = 97,653.90 × 42,519.16
  4. Step 4: Simplify right side
    70,823.80x = 4,152,161,798.72
  5. Step 5: Solve for x
    x = 4,152,161,798.72/70,823.80
  6. Step 6: Final answer
    x = 58,626.65

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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.