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Finding the Fourth Proportional to 101,810.80, 152,813.40 and 51,947.20

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Solution

The fourth proportional to 101,810.80, 152,813.40 and 51,947.20 is: 77,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,810.80 : 152,813.40 = 51,947.20 : x
  2. Step 2: Convert to fraction form
    101,810.80/152,813.40 = 51,947.20/x
  3. Step 3: Cross multiply
    101,810.80x = 152,813.40 × 51,947.20
  4. Step 4: Simplify right side
    101,810.80x = 7,938,228,252.48
  5. Step 5: Solve for x
    x = 7,938,228,252.48/101,810.80
  6. Step 6: Final answer
    x = 77,970.39

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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.