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Finding the Fourth Proportional to 99,710.66, 149,565.36 and 42,776.16

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Solution

The fourth proportional to 99,710.66, 149,565.36 and 42,776.16 is: 64,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,710.66 : 149,565.36 = 42,776.16 : x
  2. Step 2: Convert to fraction form
    99,710.66/149,565.36 = 42,776.16/x
  3. Step 3: Cross multiply
    99,710.66x = 149,565.36 × 42,776.16
  4. Step 4: Simplify right side
    99,710.66x = 6,397,831,769.82
  5. Step 5: Solve for x
    x = 6,397,831,769.82/99,710.66
  6. Step 6: Final answer
    x = 64,163.97

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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.