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Finding the Fourth Proportional to 101,740.30, 152,610.45 and 51,973.90

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Solution

The fourth proportional to 101,740.30, 152,610.45 and 51,973.90 is: 77,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,740.30 : 152,610.45 = 51,973.90 : x
  2. Step 2: Convert to fraction form
    101,740.30/152,610.45 = 51,973.90/x
  3. Step 3: Cross multiply
    101,740.30x = 152,610.45 × 51,973.90
  4. Step 4: Simplify right side
    101,740.30x = 7,931,760,267.26
  5. Step 5: Solve for x
    x = 7,931,760,267.26/101,740.30
  6. Step 6: Final answer
    x = 77,960.85

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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.