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Finding the Fourth Proportional to 78,587.16, 108,448.38 and 45,051

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Solution

The fourth proportional to 78,587.16, 108,448.38 and 45,051 is: 62,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,587.16 : 108,448.38 = 45,051 : x
  2. Step 2: Convert to fraction form
    78,587.16/108,448.38 = 45,051/x
  3. Step 3: Cross multiply
    78,587.16x = 108,448.38 × 45,051
  4. Step 4: Simplify right side
    78,587.16x = 4,885,707,967.38
  5. Step 5: Solve for x
    x = 4,885,707,967.38/78,587.16
  6. Step 6: Final answer
    x = 62,169.29

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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.