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Finding the Fourth Proportional to 102,314.70, 153,399.15 and 39,110.40

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Solution

The fourth proportional to 102,314.70, 153,399.15 and 39,110.40 is: 58,637.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,314.70 : 153,399.15 = 39,110.40 : x
  2. Step 2: Convert to fraction form
    102,314.70/153,399.15 = 39,110.40/x
  3. Step 3: Cross multiply
    102,314.70x = 153,399.15 × 39,110.40
  4. Step 4: Simplify right side
    102,314.70x = 5,999,502,116.16
  5. Step 5: Solve for x
    x = 5,999,502,116.16/102,314.70
  6. Step 6: Final answer
    x = 58,637.73

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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.