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Finding the Fourth Proportional to 103,013.60, 154,484.15 and 48,971.61

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Solution

The fourth proportional to 103,013.60, 154,484.15 and 48,971.61 is: 73,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,013.60 : 154,484.15 = 48,971.61 : x
  2. Step 2: Convert to fraction form
    103,013.60/154,484.15 = 48,971.61/x
  3. Step 3: Cross multiply
    103,013.60x = 154,484.15 × 48,971.61
  4. Step 4: Simplify right side
    103,013.60x = 7,565,337,300.12
  5. Step 5: Solve for x
    x = 7,565,337,300.12/103,013.60
  6. Step 6: Final answer
    x = 73,440.18

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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.