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Finding the Fourth Proportional to 101,816.20, 152,870.10 and 77,030.20

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Solution

The fourth proportional to 101,816.20, 152,870.10 and 77,030.20 is: 115,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,816.20 : 152,870.10 = 77,030.20 : x
  2. Step 2: Convert to fraction form
    101,816.20/152,870.10 = 77,030.20/x
  3. Step 3: Cross multiply
    101,816.20x = 152,870.10 × 77,030.20
  4. Step 4: Simplify right side
    101,816.20x = 11,775,614,377.02
  5. Step 5: Solve for x
    x = 11,775,614,377.02/101,816.20
  6. Step 6: Final answer
    x = 115,655.61

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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.