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Finding the Fourth Proportional to 102,291.51, 153,437.29 and 31,214.53

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Solution

The fourth proportional to 102,291.51, 153,437.29 and 31,214.53 is: 46,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,291.51 : 153,437.29 = 31,214.53 : x
  2. Step 2: Convert to fraction form
    102,291.51/153,437.29 = 31,214.53/x
  3. Step 3: Cross multiply
    102,291.51x = 153,437.29 × 31,214.53
  4. Step 4: Simplify right side
    102,291.51x = 4,789,472,358.27
  5. Step 5: Solve for x
    x = 4,789,472,358.27/102,291.51
  6. Step 6: Final answer
    x = 46,821.80

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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.