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Finding the Fourth Proportional to 102,800.80, 153,970.80 and 61,328.80

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Solution

The fourth proportional to 102,800.80, 153,970.80 and 61,328.80 is: 91,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,800.80 : 153,970.80 = 61,328.80 : x
  2. Step 2: Convert to fraction form
    102,800.80/153,970.80 = 61,328.80/x
  3. Step 3: Cross multiply
    102,800.80x = 153,970.80 × 61,328.80
  4. Step 4: Simplify right side
    102,800.80x = 9,442,844,399.04
  5. Step 5: Solve for x
    x = 9,442,844,399.04/102,800.80
  6. Step 6: Final answer
    x = 91,855.75

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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.