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Finding the Fourth Proportional to 105,176, 145,143.52 and 60,464.32

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Solution

The fourth proportional to 105,176, 145,143.52 and 60,464.32 is: 83,441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,176 : 145,143.52 = 60,464.32 : x
  2. Step 2: Convert to fraction form
    105,176/145,143.52 = 60,464.32/x
  3. Step 3: Cross multiply
    105,176x = 145,143.52 × 60,464.32
  4. Step 4: Simplify right side
    105,176x = 8,776,004,239.21
  5. Step 5: Solve for x
    x = 8,776,004,239.21/105,176
  6. Step 6: Final answer
    x = 83,441.13

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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.