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Finding the Fourth Proportional to 70,482.36, 105,776.11 and 28,362.82

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Solution

The fourth proportional to 70,482.36, 105,776.11 and 28,362.82 is: 42,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,482.36 : 105,776.11 = 28,362.82 : x
  2. Step 2: Convert to fraction form
    70,482.36/105,776.11 = 28,362.82/x
  3. Step 3: Cross multiply
    70,482.36x = 105,776.11 × 28,362.82
  4. Step 4: Simplify right side
    70,482.36x = 3,000,108,768.23
  5. Step 5: Solve for x
    x = 3,000,108,768.23/70,482.36
  6. Step 6: Final answer
    x = 42,565.38

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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.