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Finding the Fourth Proportional to 133,654.20, 200,319.30 and 77,386.20

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Solution

The fourth proportional to 133,654.20, 200,319.30 and 77,386.20 is: 115,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,654.20 : 200,319.30 = 77,386.20 : x
  2. Step 2: Convert to fraction form
    133,654.20/200,319.30 = 77,386.20/x
  3. Step 3: Cross multiply
    133,654.20x = 200,319.30 × 77,386.20
  4. Step 4: Simplify right side
    133,654.20x = 15,501,949,413.66
  5. Step 5: Solve for x
    x = 15,501,949,413.66/133,654.20
  6. Step 6: Final answer
    x = 115,985.50

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1.5x scale

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.