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Finding the Fourth Proportional to 138,802.70, 208,205.76 and 48,848.10

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Solution

The fourth proportional to 138,802.70, 208,205.76 and 48,848.10 is: 73,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,802.70 : 208,205.76 = 48,848.10 : x
  2. Step 2: Convert to fraction form
    138,802.70/208,205.76 = 48,848.10/x
  3. Step 3: Cross multiply
    138,802.70x = 208,205.76 × 48,848.10
  4. Step 4: Simplify right side
    138,802.70x = 10,170,455,785.06
  5. Step 5: Solve for x
    x = 10,170,455,785.06/138,802.70
  6. Step 6: Final answer
    x = 73,272.75

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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.