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Finding the Fourth Proportional to 102,637, 153,964.14 and 28,765

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Solution

The fourth proportional to 102,637, 153,964.14 and 28,765 is: 43,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,637 : 153,964.14 = 28,765 : x
  2. Step 2: Convert to fraction form
    102,637/153,964.14 = 28,765/x
  3. Step 3: Cross multiply
    102,637x = 153,964.14 × 28,765
  4. Step 4: Simplify right side
    102,637x = 4,428,778,487.10
  5. Step 5: Solve for x
    x = 4,428,778,487.10/102,637
  6. Step 6: Final answer
    x = 43,149.92

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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.