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Finding the Fourth Proportional to 101,070.30, 151,702.65 and 51,206.70

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Solution

The fourth proportional to 101,070.30, 151,702.65 and 51,206.70 is: 76,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,070.30 : 151,702.65 = 51,206.70 : x
  2. Step 2: Convert to fraction form
    101,070.30/151,702.65 = 51,206.70/x
  3. Step 3: Cross multiply
    101,070.30x = 151,702.65 × 51,206.70
  4. Step 4: Simplify right side
    101,070.30x = 7,768,192,087.76
  5. Step 5: Solve for x
    x = 7,768,192,087.76/101,070.30
  6. Step 6: Final answer
    x = 76,859.30

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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.