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Finding the Fourth Proportional to 105,030.40, 157,569.10 and 38,469.20

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Solution

The fourth proportional to 105,030.40, 157,569.10 and 38,469.20 is: 57,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,030.40 : 157,569.10 = 38,469.20 : x
  2. Step 2: Convert to fraction form
    105,030.40/157,569.10 = 38,469.20/x
  3. Step 3: Cross multiply
    105,030.40x = 157,569.10 × 38,469.20
  4. Step 4: Simplify right side
    105,030.40x = 6,061,557,221.72
  5. Step 5: Solve for x
    x = 6,061,557,221.72/105,030.40
  6. Step 6: Final answer
    x = 57,712.41

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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.