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Finding the Fourth Proportional to 46,088.80, 69,115.92 and 19,780

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Solution

The fourth proportional to 46,088.80, 69,115.92 and 19,780 is: 29,662.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,088.80 : 69,115.92 = 19,780 : x
  2. Step 2: Convert to fraction form
    46,088.80/69,115.92 = 19,780/x
  3. Step 3: Cross multiply
    46,088.80x = 69,115.92 × 19,780
  4. Step 4: Simplify right side
    46,088.80x = 1,367,112,897.60
  5. Step 5: Solve for x
    x = 1,367,112,897.60/46,088.80
  6. Step 6: Final answer
    x = 29,662.58

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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.