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Finding the Fourth Proportional to 127,209, 190,813.50 and 39,657

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Solution

The fourth proportional to 127,209, 190,813.50 and 39,657 is: 59,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,209 : 190,813.50 = 39,657 : x
  2. Step 2: Convert to fraction form
    127,209/190,813.50 = 39,657/x
  3. Step 3: Cross multiply
    127,209x = 190,813.50 × 39,657
  4. Step 4: Simplify right side
    127,209x = 7,567,090,969.50
  5. Step 5: Solve for x
    x = 7,567,090,969.50/127,209
  6. Step 6: Final answer
    x = 59,485.50

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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.