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Finding the Fourth Proportional to 103,710, 155,565 and 29,838

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Solution

The fourth proportional to 103,710, 155,565 and 29,838 is: 44,757

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,710 : 155,565 = 29,838 : x
  2. Step 2: Convert to fraction form
    103,710/155,565 = 29,838/x
  3. Step 3: Cross multiply
    103,710x = 155,565 × 29,838
  4. Step 4: Simplify right side
    103,710x = 4,641,748,470
  5. Step 5: Solve for x
    x = 4,641,748,470/103,710
  6. Step 6: Final answer
    x = 44,757

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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.